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We have developed a numerical approach to compute real-time path integral expressions for quantum transport problems out of equilibrium. The scheme is based on a deterministic iterative summation of the path integral (ISPI) for the…

介观与纳米尺度物理 · 物理学 2008-05-16 S. Weiss , J. Eckel , M. Thorwart , R. Egger

We introduce a new path integral Monte Carlo method for investigating nonadiabatic systems in thermal equilibrium and demonstrate an approach to reducing stochastic error. We derive a general path integral expression for the partition…

化学物理 · 物理学 2019-07-11 Neil Raymond , Dmitri Iouchtchenko , Pierre-Nicholas Roy , Marcel Nooijen

Possibility of experimental identification of QCD-instantons in high energy collisions is studied by means of correlations analysis in final states. Instanton-induced processes amplitudes are performed in the framework of QCD in Gauss…

高能物理 - 唯象学 · 物理学 2007-05-23 V. I. Kuvshinov , V. I. Kashkan , R. G. Shulyakovsky

Marcus-Levich-Jortner (MLJ) theory is one of the most commonly used methods for including nuclear quantum effects into the calculation of electron-transfer rates and for interpreting experimental data. It divides the molecular problem into…

化学物理 · 物理学 2020-10-29 Eric R. Heller , Jeremy O. Richardson

Recently there has been increasing interest in alternate methods to compute quantum tunneling in field theory. Of particular interest is a stochastic approach which involves (i) sampling from the free theory Gaussian approximation to the…

高能物理 - 理论 · 物理学 2020-10-08 Mark P. Hertzberg , Fabrizio Rompineve , Neil Shah

We solve numerically exactly a simple toy model to quantum general relativity or more properly to path integral on a curved space. We consider the thermal equilibrium of a quantum many body problem on the sphere, the surface of constant…

量子气体 · 物理学 2026-03-25 Riccardo Fantoni

Background: Path integrals are a powerful tool for solving problems in quantum theory that are not amenable to a treatment by perturbation theory. Most path integral computations require an analytic continuation to imaginary time. While…

核理论 · 物理学 2020-07-01 W. N. Polyzou , Ekaterina Nathanson

We study the path-integral formalism in the imaginary-time to show its validity in a case with a metastable ground state. The well-known method based on the bounce solution leads to the imaginary part of the energy even for a state that is…

高能物理 - 理论 · 物理学 2009-10-30 Hideaki Aoyama , Toshiyuki Harano , Hisashi Kikuchi , Masatoshi Sato , Shinya Wada

Microcanonical instanton theory offers the promise of providing rate constants for chemical reactions including quantum tunneling of atoms over the whole temperature range. We discuss different rate expressions, which require the…

化学物理 · 物理学 2020-09-09 Sean R. McConnell , Andreas Löhle , Johannes Kästner

Extreme events play a crucial role in fluid turbulence. Inspired by methods from field theory, these extreme events, their evolution and probability can be computed with help of the instanton formalism as minimizers of a suitable action…

流体动力学 · 物理学 2015-10-28 Tobias Grafke , Rainer Grauer , Stephan Schindel

The phaseless Auxiliary Field Quantum Monte Carlo method provides a well established approximation scheme for accurate calculations of ground state energies of many-fermions systems. Here we apply the method to the calculation of imaginary…

强关联电子 · 物理学 2015-06-17 M. Motta , D. E. Galli , S. Moroni , E. Vitali

Studying the instanton-induced contributions to various hard exclusive reactions provides physical insight into the transition from the non-perturbative to the perturbative regime of QCD. To this end, we study the leading-instanton…

高能物理 - 唯象学 · 物理学 2007-05-23 P. Faccioli , A. Schwenk , E. V. Shuryak

We analyze vacuum tunneling in quantum field theory in a general formalism by using the Wigner representation. In the standard instanton formalism, one usually approximates the initial false vacuum state by an eigenstate of the field…

高能物理 - 理论 · 物理学 2019-08-15 Mark P. Hertzberg , Masaki Yamada

We compute the axial vector current, form factor, and coupling for quarks in the instanton liquid model with two light flavors. Non-local current corrections are derived, as required by the effective 't Hooft interaction. We obtain a…

高能物理 - 唯象学 · 物理学 2009-11-07 G. W. Carter

Estimating correctly the quantum phase of a physical system is a central problem in quantum parameter estimation theory due to its wide range of applications from quantum metrology to cryptography. Ideally, the optimal quantum estimator is…

We use an instanton approximation to the continuous-time spin coherent-state path integral to obtain the tunnel splitting of classically degenerate ground states. We show that provided the fluctuation determinant is carefully evaluated, the…

凝聚态物理 · 物理学 2007-05-23 Anupam Garg , Evgueny Kochetov , Kee-Su Park , Michael Stone

An importance sampling method based on Generalized Feynman-Kac method has been used to calculate the mean values of quantum observables from quantum correlation functions for many body systems both at zero and finite temperature.…

量子物理 · 物理学 2023-01-11 Sumita Datta

Constructing an accurate approximation to nonadiabatic rate theory which is valid for arbitrary values of the electronic coupling has been a long-standing challenge in theoretical chemistry. Ring-polymer instanton theories offer a very…

化学物理 · 物理学 2025-05-09 Rhiannon A. Zarotiadis , Joseph E. Lawrence , Jeremy O. Richardson

This study aims at examination of the lower-order spectral moments in collision-induced absorption (CIA), taking the translational He-Ar band as an example. General quantum corrections for the zeroth and first spectral moments are derived…

化学物理 · 物理学 2025-04-21 Daniil N. Chistikov , Artem A. Finenko

We present an elementary and self-contained account of the analogies existing between classical diffusion and the imaginary-time evolution of quantum systems. These analogies are used to develop a new quantum simulation method which allows…

凝聚态物理 · 物理学 2007-05-23 S. Baroni , S. Moroni