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The spin coherent state path integral describing the dynamics of a spin-1/2-system in a magnetic field of arbitrary time-dependence is considered. Defining the path integral as the limit of a Wiener regularized expression, the semiclassical…

Quantum Physics · Physics 2008-11-26 Adrian Alscher , Hermann Grabert

We present a formalism for simulating quantum dynamics of lattice spin-one systems by first introducing local hidden variables and then doing semiclassical (truncated Wigner) approximation in the extended phase space. In this way we exactly…

Quantum Physics · Physics 2016-06-28 Shainen M. Davidson , Anatoli Polkovnikov

In this work, we consider two spins initially prepared in a product of coherent states and study their entanglement dynamics due to a general interacting Hamiltonian. We adopt an approach that allowed the derivation of a semiclassical…

Quantum Physics · Physics 2021-11-03 Matheus V. Scherer , Alexandre D. Ribeiro

We present a pseudospin formulation for the post-quench dynamics of charge-density-wave (CDW) order in the half-filled spinless Holstein model on a square lattice, assuming spatially homogeneous evolution. This Anderson pseudospin…

Strongly Correlated Electrons · Physics 2026-01-06 Lingyu Yang , Ho Jang , Sankha Subhra Bakshi , Yang Yang , Gia-Wei Chern

The study of quantum many-body physics in Liouvillian open quantum systems becomes increasingly important with the recent progress in experimental control on dissipative systems and their technological exploitation . A central question in…

Quantum Physics · Physics 2023-07-14 Wouter Verstraelen , Dolf Huybrechts , Tommaso Roscilde , Michiel Wouters

In this work we present the formal background used to develop the methods used in earlier works to extend the truncated Wigner representation of quantum and atom optics in order to address multi-time problems. The truncated Wigner…

Quantum Physics · Physics 2015-06-16 L I Plimak , M K Olsen

We derive an analytical expression of a Wigner function that approximately describes the time evolution of the one-dimensional motion of a particle in a nonharmonic potential. Our method involves two exact frame transformations, accounting…

The Self-Consistent Harmonic Approximation (SCHA) has been utilized to investigate quantum and thermal phase transitions within magnetic models and, more recently, in spintronic applications. The SCHA methodology involves utilizing simple…

Strongly Correlated Electrons · Physics 2026-03-25 G. C. Villela , A. R. Moura

We measure complete and continuous Wigner functions of a two-level cesium atom in both a nearly pure state and highly mixed states. We apply the method [T. Tilma et al., Phys. Rev. Lett. 117, 180401 (2016)] of strictly constructing…

Quantum Physics · Physics 2018-01-26 Yali Tian , Zhihui Wang , Pengfei Zhang , Gang Li , Jie Li , Tiancai Zhang

We show how to relate the full quantum dynamics of a spin-1/2 particle on R^d to a classical Hamiltonian dynamics on the enlarged phase space R^d x S^2 up to errors of second order in the semiclassical parameter. This is done via an…

Mathematical Physics · Physics 2015-03-13 Omri Gat , Max Lein , Stefan Teufel

Hybrid functionals' non-local exchange-correlation potential contains a derivative discontinuity that improves on standard semi-local density functional theory (DFT) band gaps. Moreover, by careful parameterization, hybrid functionals can…

Materials Science · Physics 2017-11-06 Viktor Ivády , Adam Gali , Igor A. Abrikosov

Rigid bodies, plastic impact, persistent contact, Coulomb friction, and massless limbs are ubiquitous simplifications introduced to reduce the complexity of mechanics models despite the obvious physical inaccuracies that each incurs…

Robotics · Computer Science 2020-07-31 Aaron M. Johnson , Samuel A. Burden , Daniel E. Koditschek

In this work we explore the performance of approximations to electron correlation in reduced density-matrix functional theory (RDMFT) and of approximations to the observables calculated within this theory. Our analysis focuses on the…

Strongly Correlated Electrons · Physics 2015-02-26 Stefano Di Sabatino , Jan A. Berger , Lucia Reining , Pina Romaniello

The dynamic structure factor (DSF) is a mathematical function that contains information about inter-particle correlations and their time evolution. Mostly the classical molecular dynamics is used to calculate the DSF of the classical…

Disordered Systems and Neural Networks · Physics 2024-07-08 V. S. Filinov , P. R. Levashov , A. S. Larkin

We present the quantum theory of coherent Ising machines based on networks of degenerate optical parametric oscillators (DOPOs). In a simple model consisting of two coupled DOPOs, both positive-$P$ representation and truncated Wigner…

Quantum Physics · Physics 2016-08-24 Daiki Maruo , Shoko Utsunomiya , Yoshihisa Yamamoto

The Lindblad equation governs general markovian evolution of the density operator in an open quantum system. An expression for the rate of change of the Wigner function as a sum of integrals is one of the forms of the Weyl representation…

Quantum Physics · Physics 2009-11-07 Alfredo M. Ozorio de Almeida

We calculate the atomic (spin) Wigner function for the single mode Dicke model in the regime of large number of two-level atoms. The dynamics of this quasi-probability function on the Bloch sphere allows us to visualize the consequences of…

Quantum Physics · Physics 2007-05-23 L. Sanz , K. Furuya

Recent experimental advances in ultrafast science put different processes occurring on the electronic timescale below a few femtoseconds in focus. In the present theoretical work, we demonstrate how the transformation and propagation of the…

Computational Physics · Physics 2023-06-13 Thies Romig , Vladislav Kochetov , Sergey I. Bokarev

The description of realistic strongly correlated systems has recently advanced through the combination of density functional theory in the local density approximation (LDA) and dynamical mean field theory (DMFT). This LDA+DMFT method is…

Strongly Correlated Electrons · Physics 2009-11-13 B. Amadon , F. Lechermann , A. Georges , F. Jollet , T. O. Wehling , A. I. Lichtenstein

We introduce an extension of the dynamical mean field approximation (DMFA) which retains the causal properties and generality of the DMFA, but allows for systematic inclusion of non-local corrections. Our technique maps the problem to a…

Strongly Correlated Electrons · Physics 2009-10-31 M. H. Hettler , A. N. Tahvildar-Zadeh , M. Jarrell , T. Pruschke , H. R. Krishnamurthy
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