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The accurate simulation of dissipative quantum dynamics subject to a non-Markovian environment poses persistent numerical challenges, in particular for structured environments where sharp mode resonances induce long-time system bath…

Quantum Physics · Physics 2025-06-04 Roman Ovcharenko , Benjamin P. Fingerhut

Quantum systems are typically subject to various environmental noise sources. Treating these environmental disturbances with a system-bath approach beyond weak coupling one must refer to numerical methods as, for example, the numerically…

Quantum Physics · Physics 2021-12-08 Timo Palm , Peter Nalbach

Accurately simulating non-Markovian quantum dynamics in system-bath coupled problems remains challenging. In this work, we present a novel memory truncation scheme for the iterative Quasi-Adiabatic Propagator Path Integral (iQuAPI) method…

Chemical Physics · Physics 2025-03-04 Limin Liu , Jiajun Ren , Weihai Fang

We propose the differential equation based path integral (DEBPI) method to simulate the real-time evolution of open quantum systems. In this method, a system of partial differential equations is derived based on the continuation of a…

Quantum Physics · Physics 2022-08-15 Geshuo Wang , Zhenning Cai

We consider the Brownian motion of a quantum mechanical particle in a one-dimensional parabolic potential with periodically modulated curvature under the influence of a thermal heat bath. Analytic expressions for the time-dependent position…

Condensed Matter · Physics 2009-10-31 Michael Thorwart , Peter Reimann , Peter Hänggi

The dynamics of a qubit in a structured environment is investigated theoretically. One point of view of the model is the spin-boson model with a Lorentz shaped spectral density. An alternative view is a qubit coupled to harmonic oscillator…

Quantum Physics · Physics 2010-11-04 Peihao Huang , Hang Zheng , Keiichiro Nasu

We investigate the quantum coherent dynamics of an externally driven effective two-level system subjected to a slow Ohmic environment characteristic of biomolecular protein-solvent reservoirs in photosynthetic light harvesting complexes. By…

Mesoscale and Nanoscale Physics · Physics 2009-08-19 Jens Eckel , John Henry Reina , Michael Thorwart

The dynamics of a qubit under the decoherence of a two level fluctuator (TLF) in addition to its coupling to a bosonic bath is investigated theoretically. Two different methods are applied and compared for this problem. One is a…

Quantum Physics · Physics 2010-11-12 Peihao Huang , Hang Zheng , Keiichiro Nasu

The small matrix path integral (SMatPI) method is an efficient numerical approach to simulate the evolution of a quantum system coupled to a harmonic bath. The method relies on a sequence of kernel matrices that defines the non-Markovian…

Quantum Physics · Physics 2024-07-25 Geshuo Wang , Zhenning Cai

We develop and test a computational framework to study heat exchange in interacting, nonequilibrium open quantum systems. Our iterative full counting statistics path integral (iFCSPI) approach extends a previously well-established influence…

Statistical Mechanics · Physics 2019-03-27 Michael Kilgour , Bijay Kumar Agarwalla , Dvira Segal

We study quantum annealing of pure and random transverse Ising chains that are coupled to boson baths, using a novel numerical method based on the combination of the quasi-adiabatic propagation path integral (QUAPI) and the matrix product…

Statistical Mechanics · Physics 2019-03-27 Sei Suzuki , Hiroki Oshiyama , Naokazu Shibata

We present a numerical path-integral iteration scheme for the low dimensional reduced density matrix of a time-dependent quantum dissipative system. Our approach simultaneously accounts for the combined action of a microscopically modelled…

Quantum Physics · Physics 2016-10-12 A. M. Barth , A. Vagov , V. M. Axt

We apply a recently developed quasi-diabatic (QD) scheme to the symmetric quasi-classical (SQC) approach for accurate quantum dynamics propagation. By using the adiabatic states as the quasi-diabatic states during a short-time quantum…

Chemical Physics · Physics 2018-07-11 Juan Sebastian C. Sandoval , Arkajit Mandal , Pengfei Huo

The ubiquitous effects of the environment on quantum-mechanical systems generally cause temporally correlated fluctuations. This particularly holds for systems of interest for quantum computation where such effects lead to correlated…

Quantum Physics · Physics 2025-04-23 Balázs Gulácsi , Guido Burkard

Using a real-time path integral approach we develop an algorithm to calculate multi-time correlation functions of open few-level quantum systems that is applicable to highly nonequilibrium dynamics. The calculational scheme fully keeps the…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Michael Cosacchi , Moritz Cygorek , Florian Ungar , Andreas M. Barth , Alexei Vagov , Vollrath Martin Axt

Quantitative phase imaging (QPI) is a label-free computational imaging technique used in various fields, including biology and medical research. Modern QPI systems typically rely on digital processing using iterative algorithms for phase…

Optics · Physics 2023-06-28 Yuhang Li , Yi Luo , Deniz Mengu , Bijie Bai , Aydogan Ozcan

The dynamics of a quantum XOR gate operation in a two-qubit system being coupled to a bath of quantum harmonic oscillators is investigated. Upon applying the numerical quasiadiabatic propagator path integral method, we obtain the…

Condensed Matter · Physics 2008-01-29 Michael Thorwart , Peter Hänggi

Studies of the dynamics of a quantum system coupled to baths are typically performed by utilizing the Nakajima-Zwanzig memory kernel (${\mathcal{K}}$) or the influence functions ($\mathbf{{I}}$), especially when the dynamics exhibit memory…

Quantum Physics · Physics 2024-06-05 Felix Ivander , Lachlan P. Lindoy , Joonho Lee

Established methods for characterizing quantum information processes do not capture non-Markovian (history-dependent) behaviors that occur in real systems. These methods model a quantum process as a fixed map on the state space of a…

Quantum Physics · Physics 2019-09-04 Ryan S. Bennink , Pavel Lougovski

Strong coupling between a system and its environment leads to the emergence of non-Markovian dynamics, which cannot be described by a time-local master equation. One way to capture such dynamics is to use numerical real-time path integrals,…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Aidan Strathearn , Brendon W. Lovett , Peter Kirton
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