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DOE OSTI2024

Diagonalizing the Born–Oppenheimer Hamiltonian via Moyal perturbation theory, nonadiabatic corrections, and translational degrees of freedom

This article describes a method for calculating higher order or nonadiabatic corrections in Born–Oppenheimer theory and its interaction with the translational degrees of freedom. The method uses the Wigner–Weyl correspondence to map nuclear operators into functions on the classical phase space and the Moyal star product to represent operator multiplication on those functions. These are explained in the body of the paper. The result is a power series in κ 2 , where κ = (m/M)1/4 is the usual Born–Oppenheimer parameter. The lowest order term is the usual Born–Oppenheimer approximation, while higher order terms are nonadiabatic corrections. These are needed in calculations of electronic currents, momenta, and densities. The separation of nuclear and electronic degrees of freedom takes place in the context of the exact symmetries (for an isolated molecule) of translations and rotations, and these, especially translations, are explicitly incorporated into our discussion. This article presents an independent derivation of the Moyal expansion in molecular Born–Oppenheimer theory. Here, we show how electronic currents and momenta can be calculated within the framework of Moyal perturbation theory; we derive the transformation laws of the electronic Hamiltonian, the electronic eigenstates, and the derivative couplings under translations; we discuss in detail the rectilinear motion of the molecular center of mass in the Born–Oppenheimer representation; and we show how the elimination of the translational components of the derivative couplings leads to a unitary transformation that has the effect of exactly separating the translational degrees of freedom.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
DOE OSTI2023

Shadow energy functionals and potentials in Born–Oppenheimer molecular dynamics

In Born–Oppenheimer molecular dynamics (BOMD) simulations based on the density functional theory (DFT), the potential energy and the interatomic forces are calculated from an electronic ground state density that is determined by an iterative self-consistent field optimization procedure, which, in practice, never is fully converged. The calculated energies and forces are, therefore, only approximate, which may lead to an unphysical energy drift and instabilities. Here, we discuss an alternative shadow BOMD approach that is based on backward error analysis. Instead of calculating approximate solutions for an underlying exact regular Born–Oppenheimer potential, we do the opposite. Instead, we calculate the exact electron density, energies, and forces, but for an underlying approximate shadow Born–Oppenheimer potential energy surface. In this way, the calculated forces are conservative with respect to the approximate shadow potential and generate accurate molecular trajectories with long-term energy stabilities. We show how such shadow Born–Oppenheimer potentials can be constructed at different levels of accuracy as a function of the integration time step, δt, from the constrained minimization of a sequence of systematically improvable, but approximate, shadow energy density functionals. For each energy functional, there is a corresponding ground state Born–Oppenheimer potential. These pairs of shadow energy functionals and potentials are higher-level generalizations of the original “zeroth-level” shadow energy functionals and potentials used in extended Lagrangian BOMD. The proposed shadow energy functionals and potentials are useful only within this extended dynamical framework, where also the electronic degrees of freedom are propagated as dynamical field variables together with the atomic positions and velocities. The theory is quite general and can be applied to MD simulations using approximate DFT, Hartree–Fock, or semi-empirical methods, as well as to coarse-grained flexible charge models.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
DOE OSTI2021

Plutonium and poetry: Where Trinity and Oppenheimer's reading habits met Literary inspirations, correcting misinterpretation of his famous quote

The Lab’s first director, J. Robert Oppenheimer, was a man of sonnets and scientific synthesis. Oppenheimer’s work at Los Alamos was defined not only by physics and administrative skill, but also by a life philosophy inspired, in part, by literature. The Trinity test, which took place 76 years ago on July 16th in the New Mexico desert, epitomizes this. Known as one of the greatest scientific achievements ever, the successful detonation of the world’s first nuclear weapon marked the dawn of the Atomic Age. Created in just 27, albeit harrowing, months, Oppenheimer and his team at the Los Alamos Lab worked nonstop on this clandestine effort to help end World War II. As he had done throughout his life, Oppenheimer continued to foster his love of literature during the Manhattan Project. Two of his influences were John Donne and the Hindu scripture Bhagavad-Gita. Oppenheimer recalled both during the Trinity test.

96 KNOWLEDGE MANAGEMENT AND PRESERVATION↗
DOE OSTI2022

‘Spokesperson for everyone at the Laboratory who believed in Oppenheimer’ Los Alamos physicist Fred Ribe’s 1954 petition protested former Lab Director’s revoked clearance

In 1953, J. Robert Oppenheimer received an ultimatum. The Atomic Energy Commission (AEC) sent the "father of the atomic bomb" and former Los Alamos Director a letter outlining two options: give up his Q clearance and role as advisor or appear before a board to prove that he wasn’t a threat to national security. Oppenheimer chose the latter. The ensuing saga that unfolded throughout 1954 peaked with a four-week, closed-door hearing in April and May after which Oppenheimer’s security clearance was formally revoked. The long, complex affair consisted of national security concerns, a tangle of questionable charges, divided opinions, loyalties, egos, and vendettas. AEC Chairman Lewis L. Strauss and Oppenheimer were at the center of events, though an important part of the historical record is Fred L. Ribe and the 493 other Los Alamos scientists who risked harming their careers to protest Oppenheimer’s ordeal. Ribe wrote a one-page letter, signed by his colleagues, to President Dwight Eisenhower and the AEC commissioners “objecting the decision and the grounds for it” as Ribe later wrote. This petition – and Strauss’s written response – were donated by Ribe and are part of the unclassified historical collections in the National Security Research Center, which is the Lab’s classified library.

96 KNOWLEDGE MANAGEMENT AND PRESERVATION↗
DOE OSTI2020

Density-Matrix Based Extended Lagrangian Born–Oppenheimer Molecular Dynamics

Extended Lagrangian Born–Oppenheimer molecular dynamics [ Phys. Rev. Lett. 2008, 100, 123004] is presented for Hartree–Fock theory, where the extended electronic degrees of freedom are represented by a density matrix, including fractional occupation numbers at elevated electronic temperatures. In contrast to regular direct Born–Oppenheimer molecular dynamics simulations, no iterative self-consistent field optimization is required prior to the force evaluations. To sample regions of the potential energy landscape where the gap is small or vanishing, which leads to particular convergence problems in regular direct Born–Oppenheimer molecular dynamics simulations, an adaptive integration scheme for the extended electronic degrees of freedom is presented. The integration scheme is based on a tunable, low-rank approximation of a fourth-order kernel, K, that determines the metric tensor, T ≡ K T K, used in the extended harmonic oscillator of the Lagrangian that generates the dynamics of the electronic degrees of freedom. Here, the formulation and algorithms provide a general guide to implement extended Lagrangian Born–Oppenheimer molecular dynamics for quantum chemistry, density functional theory, and semiempirical methods using a density matrix formalism.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
DOE OSTI2021

Why didn’t Oppenheimer ever win a Nobel Prize?

For his scientific achievement, he would be forever known as the father of the atomic bomb – but never as a Nobel laureate. The pinnacle of global recognition, the Nobel Prize was bestowed on 18 of J. Robert Oppenheimer’s colleagues with whom he worked at the Manhattan Project site in Los Alamos. There, in just 27 months and in a perceived race with Nazi Germany, the scientists created the first nuclear weapons. Their efforts brought the world into the Atomic Age and helped end World War II. Several were awarded the prize before coming to work at the wartime lab, while most would go on to win later in life. Oppenheimer was nominated for the Nobel Prize for Physics three times: in 1946, in 1951, and in 1967. Colleagues, scholars, and surely Oppenheimer himself pondered why he was never bestowed the honor. “To understand this,” said James Kunetka, historian and author of The General and the Genius, “you have to first examine the man’s academic life before and after the war.”

73 NUCLEAR PHYSICS AND RADIATION PHYSICS↗
DOE OSTI2022

Oppenheimer biographer tours Lab while movie is filmed locally

While a Hollywood movie crew filmed the Oppenheimer movie in Los Alamos these past few weeks, a special guest stopped by the Lab in between takes and chats with big-name actors. Director Thom Mason invited Kai Bird, co-author of American Prometheus: The Triumph and Tragedy of J. Robert Oppenheimer, to LANL while Bird was in town. The film’s director, Christopher Nolan, wrote the screenplay based on Bird’s Pulitzer Prize-winning biography, published in 2005. Oppenheimer was a physicist and the Lab’s first director of its wartime mission to secretly create the atomic bombs and help end World War II.

99 GENERAL AND MISCELLANEOUS↗
DOE OSTI2023

Did you know the Lab and its first director share a birthday month? A look back at Oppenheimer’s wartime legacy through historical items in our collections

Many birthdays ago, at only 38 years old and with no previous administrative experience, J. Robert Oppenheimer accepted responsibility for a national security mission of unprecedented scale. His charge, handed down by Manhattan Project director General Leslie R. Groves, was to lead a team of the world’s foremost scientific minds in developing the first atomic bomb. Under Oppenheimer’s leadership, a community of over 6,000 scientists, engineers, and other personnel living and working at the top-secret lab in Los Alamos completed their task in only 27 months, delivering the world’s first two atomic weapons to the U.S. military. In honor of what would have been Oppenheimer’s 119th birthday (on April 22), the National Security Research Center remembers his contributions as an administrator and scientist and the scope of his legacy as the first director of the Lab through items in our unclassified collections.

99 GENERAL AND MISCELLANEOUS↗
DOE OSTI2023

J. Robert Oppenheimer: Niels Bohr and Atomic Weapons

On May 18 th , 1964, J. Robert Oppenheimer made his last visit to Los Alamos, highlighted by a talk on Niels Bohr before a full house at the community’s civic auditorium and by an audio link to another full house sitting in the Laboratory’s main auditorium. Although recorded, his talk was not transcribed. Later, Oppenheimer sent a transcript to the Laboratory, which is reproduced below. His talk, of course, deviated from time-to-time from this written version. Unfortunately, the transcript was microfilmed, the original disappearing. Hence, all of Oppenheimer’s marginal notations and handwritten edits are unreadable. A poor quality recording is being converted to a modern format and will be available for listening.

96 KNOWLEDGE MANAGEMENT AND PRESERVATION↗
DOE OSTI2020

Extended Lagrangian Born–Oppenheimer molecular dynamics using a Krylov subspace approximation

It is shown how the electronic equations of motion in extended Lagrangian Born–Oppenheimer molecular dynamics simulations can be integrated using low-rank approximations of the inverse Jacobian kernel. This kernel determines the metric tensor in the harmonic oscillator extension of the Lagrangian that drives the evolution of the electronic degrees of freedom. The proposed kernel approximation is derived from a pseudoinverse of a low-rank estimate of the Jacobian, which is expressed in terms of a generalized set of directional derivatives with directions that are given from a Krylov subspace approximation. The approach allows a tunable and adaptive approximation that can take advantage of efficient preconditioning techniques. The proposed kernel approximation for the integration of the electronic equations of motion makes it possible to apply extended Lagrangian first-principles molecular dynamics simulations to a broader range of problems, including reactive chemical systems with numerically sensitive and unsteady charge solutions. This can be achieved without requiring exact full calculations of the inverse Jacobian kernel in each time step or relying on iterative non-linear self-consistent field optimization of the electronic ground state prior to the force evaluations as in regular direct Born–Oppenheimer molecular dynamics. We note the low-rank approximation of the Jacobian is directly related to Broyden’s class of quasi-Newton algorithms and Jacobian-free Newton–Krylov methods and provides a complementary formulation for the solution of nonlinear systems of equations.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
DOE OSTI2020

Electronic structure and optical properties of quantum crystals from first principles calculations in the Born–Oppenheimer approximation

In this work, we develop a formalism to accurately account for the renormalization of the electronic structure due to quantum and thermal nuclear motions within the Born–Oppenheimer approximation. We focus on the fundamental energy gap obtained from electronic addition and removal energies from quantum Monte Carlo calculations in either the canonical or grand-canonical ensembles. The formalism applies as well to effective single electron theories such as those based on density functional theory. We show that the electronic (Bloch) crystal momentum can be restored by marginalizing the total electron–ion wave function with respect to the nuclear equilibrium distribution, and we describe an explicit procedure to establish the band structure of electronic excitations for quantum crystals within the Born–Oppenheimer approximation. Based on the Kubo–Greenwood equation, we discuss the effects of nuclear motion on optical conductivity. Our methodology applies to the low temperature regime where nuclear motion is quantized and, in general, differs from the semi-classical approximation. We apply our method to study the electronic structure of C2/c-24 crystalline hydrogen at 200 K and 250 GPa and discuss the optical absorption profile of hydrogen crystals at 200 K and carbon diamond at 297 K.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
DOE OSTI2021

Extended Lagrangian Born–Oppenheimer molecular dynamics for orbital-free density-functional theory and polarizable charge equilibration models

We report extended Lagrangian Born–Oppenheimer molecular dynamics (XL-BOMD) is formulated for orbital-free Hohenberg–Kohn density-functional theory and for charge equilibration and polarizable force-field models that can be derived from the same orbital-free framework. The purpose is to introduce the most recent features of orbital-based XL-BOMD to molecular dynamics simulations based on charge equilibration and polarizable force-field models. These features include a metric tensor generalization of the extended harmonic potential, preconditioners, and the ability to use only a single Coulomb summation to determine the fully equilibrated charges and the interatomic forces in each time step for the shadow Born–Oppenheimer potential energy surface. The orbital-free formulation has a charge-dependent, short-range energy term that is separate from long-range Coulomb interactions. This enables local parameterizations of the short-range energy term, while the long-range electrostatic interactions can be treated separately. The theory is illustrated for molecular dynamics simulations of an atomistic system described by a charge equilibration model with periodic boundary conditions. The system of linear equations that determines the equilibrated charges and the forces is diagonal, and only a single Ewald summation is needed in each time step. The simulations exhibit the same features in accuracy, convergence, and stability as are expected from orbital-based XL-BOMD.

37 INORGANIC, ORGANIC, PHYSICAL, AND ANALYTICAL CH↗
DOE OSTI2024

Born-Oppenheimer potentials for $SU$(3) gauge theory

We develop parametrizations of eight of the lowest Born-Oppenheimer potentials for quarkonium hybrid mesons as functions of the separation r of the static quark and antiquark sources. The parameters are determined by fitting results calculated using pure SU⁡(3) lattice gauge theory. The parametrizations have the correct limiting behavior at small r, where the potentials form multiplets associated with gluelumps. They have the correct limiting behavior at large r, where the potentials form multiplets associated with excitations of a relativistic string. There is a narrow avoided crossing in the small-r region between two potentials with the same Born-Oppenheimer quantum numbers.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗
DOE OSTI2024

J. Robert Oppenheimer, Physicist

What kind of scientist was J. Robert Oppenheimer? Christopher Nolan's film has prompted several one-line pronouncements. “He was no Einstein”—which leaves plenty of room near the top; “He never won a Nobel Prize”—a narrow metric, if undeniably true; “He would have had a Nobel had he lived to see X or Y discovered”—we will never know. Oppenheimer's legacy in research merits a closer look.

99 GENERAL AND MISCELLANEOUS↗
DOE OSTI2021

Listen: Oppenheimer’s office chair one of the only possessions the lab has from our first director

Even the father of the atomic bomb had to sit down somewhere. It's hard to believe that our legendary first Lab director and brilliant physicist J. Robert Oppenheimer did something as ordinary as using a chair at work like the rest of us do. However, aside from a recently gifted book, this chair from the 1940s is the only Oppenheimer possession that the Lab has. And Oppie fans love it. The chair is routinely loaned to museums nationwide for display.

99 GENERAL AND MISCELLANEOUS↗
DOE OSTI2021

Be like Oppenheimer: Donate your weapons information for the next generation of LANL researchers

You can follow the Lab’s first physicists, J. Robert Oppenheimer, Richard Feynman, Hans Bethe, and so many others through the years, plus know your information is helping future researchers — just like our first scientists did for you. How? Donate your physical or digital classified weapons records to the Lab’s National Security Research Center (NSRC), said Riz Ali, NSRC Director. The NSRC houses 80 years’ worth of one-of-kind records, which total in the millions and include nearly every medium imaginable. It is the Laboratory’s largest collection of research materials and the largest classified library of any Department of Energy lab. It all started with Oppenheimer, our first Lab director, and his Technical Library that was established during the Manhattan Project, which was the U.S. government’s top-secret effort to create the first atomic bombs to help end World War II. “Few NSRC patrons are aware that most of its vital materials come from the Lab’s own workforce,” said Chris C’de Baca, the NSRC’s Group Leader. “A significant portion of our critical material — which today’s researchers access regularly — is a direct contribution from research scientists. If people don’t contribute, then we won’t have the information we need when people come to the NSRC for research.”

96 KNOWLEDGE MANAGEMENT AND PRESERVATION↗
DOE OSTI2023

Rediscovered photographs of J. Robert Oppenheimer’s 1964 visit to LANL

National Security Research Center staff recently rediscovered a trove of images of J. Robert Oppenheimer’s last known visit to the Laboratory, tucked away among the NSRC’s collections of millions of classified and unclassified photographs and not seen for over thirty years. Oppenheimer, who served as our first Director from 1943–1945, led the United States’ successful wartime effort to develop the world’s first atomic weapons in just 27 months. He left the Lab shortly after World War II ended, but came back in May of 1964 to deliver a lecture about Niels Bohr at the Civic Auditorium (now Duane Smith Auditorium) and visit the Los Alamos Scientific Laboratory Museum (which would become the Bradbury Science Museum), as is captured in these photos.

99 GENERAL AND MISCELLANEOUS↗
DOE OSTI2023

J. Robert Oppenheimer: The Atomic Energy Commission and His Security Clearance, Selected Documents

On April 14, 1954, Laboratory employees were formally notified by a “Special Bulletin to All Employees” (Appendix A) that the Atomic Energy Commission had convened a Personnel Security Board, at the request of J. Robert Oppenheimer, to investigate “substantial derogatory information” about their former director. Long on procedural detail and short on specifics, the Bulletin served primarily as an announcement that “A board was accordingly established for the purpose of hearing the case and advising the Commission as to whether or not suspension of clearance of Dr. Oppenheimer should be made permanent.”

99 GENERAL AND MISCELLANEOUS↗