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Out-of-time-ordered correlators (OTOCs) are a key observable in a wide range of interconnected fields including many-body physics, quantum information science, and quantum gravity. Measuring OTOCs using near-term quantum simulators will…

In standard treatments of open quantum systems, the reduced dynamics is described starting from the assumption that the system and the environment are initially uncorrelated. This assumption, however, is not always guaranteed in realistic…

A hierarchical equations of motion formalism for a quantum dissipation system in a grand canonical bath ensemble surrounding is constructed, on the basis of the calculus-on-path-integral algorithm, together with the parametrization of…

Statistical Mechanics · Physics 2009-11-11 Jinshuang Jin , Sven Welack , JunYan Luo , Xin-Qi Li , Ping Cui , Rui-Xue Xu , YiJing Yan

We present an approach that allows quantifying decoherence processes in an open quantum system subject to external time-dependent control. Interactions with the environment are modeled by a standard bosonic heat bath. We develop two…

Mesoscale and Nanoscale Physics · Physics 2010-10-12 Dmitry Solenov , Vladimir Privman

We present a new approach to calculate real-time quantum dynamics in complex systems. The formalism is based on the partitioning of a system's environment into "core" and "reservoir" modes, with the former to be treated quantum mechanically…

Statistical Mechanics · Physics 2015-05-30 Timothy C. Berkelbach , David R. Reichman , Thomas E. Markland

We review our recent results on short time approximations, with emphasis on applications for which the system-environment interactions involve a general non-Hermitian system operator and its conjugate. We evaluate the onset of decoherence…

Mesoscale and Nanoscale Physics · Physics 2010-09-22 Vladimir Privman , Denis Tolkunov

The spin-boson model is studied by means of flow equations for Hamiltonians. Our truncation scheme includes all coupling terms which are linear in the bosonic operators. Starting with the canonical generator $\eta_c=[H_0,H]$ with $H_0$…

Statistical Mechanics · Physics 2009-11-07 T. Stauber , A. Mielke

Controlling heat flow at the quantum level is essential for the development of next-generation thermal devices. We investigate thermal rectification in a quantum harmonic oscillator coupled to two thermal baths via both single-photon…

Quantum Physics · Physics 2025-12-01 M. Tahir Naseem

A finite-dimensional quantum system is coupled to a bath of oscillators in thermal equilibrium at temperature $T>0$. We show that for fixed, small values of the coupling constant $\lambda$, the true reduced dynamics of the system is…

Quantum Physics · Physics 2022-01-05 Marco Merkli

Preparation of quantum thermal states of many-body systems is a key computational challenge for quantum processors, with applications in physics, chemistry, and classical optimization. We provide a simple and efficient algorithm for thermal…

Quantum Physics · Physics 2026-03-18 Jerome Lloyd , Dmitry A. Abanin

We analyze the symmetries in an open quantum system composed by three coupled and detuned harmonic oscillators in the presence of a common heat bath. It is shown analytically how to engineer the couplings and frequencies of the system so as…

Quantum Physics · Physics 2015-05-19 Gonzalo Manzano , Fernando Galve , Roberta Zambrini

Accurate temperature estimation in the quantum and cryogenic regimes remains a fundamental challenge. Here, we investigate nonequilibrium quantum thermometry using a single-qubit probe coupled to a bosonic bath through noncommuting…

Quantum Physics · Physics 2025-12-23 Youssef Aiache , Abderrahim El Allati , İlkay Demir , Khadija El Anouz

We derive the exact out-of-equilibrium Wigner function of a bosonic mode linearly coupled to a bosonic bath of arbitrary spectral density. Our solution does not rely on any master equation approach and it therefore also correctly describes…

Quantum Physics · Physics 2014-01-13 A. Rancon , J. Bonart

Open quantum systems are subject to interaction with their surrounding environment. In many applications, at low temperatures, quantum environments fall into two universality classes of models: Caldeira-Leggett oscillator bath models and…

Mesoscale and Nanoscale Physics · Physics 2017-12-18 Seyyed M. H. Halataei

In order to simulate open quantum systems, many approaches (such as Hamiltonian-based solvers in dynamical mean-field theory) aim for a reproduction of a desired environment spectral density in terms of a discrete set of bath states,…

Strongly Correlated Electrons · Physics 2020-10-07 Max Nusspickel , George H. Booth

The thermometry precision of a sample is a question of both fundamental and technological importance. In this paper, we consider a ring-structure system as our probe to estimate the temperature of a bath. Based on the Markovian master…

Quantum Physics · Physics 2015-12-09 Li-Sha Guo , Bao-Ming Xu , Jian Zou , Bin Shao

Including quantum mechanical effects on the dynamics of nuclei in the condensed phase is challenging, because the complexity of exact methods grows exponentially with the number of quantum degrees of freedom. Efforts to circumvent these…

Chemical Physics · Physics 2015-06-23 Mariana Rossi , Hanchao Liu , Francesco Paesani , Joel Bowman , Michele Ceriotti

We investigate the dynamics of a two-qubit open quantum system, in particular the two-qubit spin-boson model in the strong coupling regime, coupled to two thermal bosonic baths under non-Markovian and non-equilibrium conditions. Two…

Quantum Physics · Physics 2026-01-22 Hasan Mehdi Rizvi , Devvrat Tiwari , Subhashish Banerjee

We develop a highly efficient method to numerically simulate thermal fluctuations and correlations in non-relativistic continuous bosonic one-dimensional systems. The method is suitable for arbitrary local interactions as long as the system…

Quantum Gases · Physics 2020-04-21 Stefan Beck , Igor E. Mazets , Thomas Schweigler

Unraveling general properties of Green's functions of quantum dissipative systems is of both experimental relevance and theoretical interest. Here, we study the spin-boson model as a prototype. By utilizing the Majorana- Fermion…

Mesoscale and Nanoscale Physics · Physics 2017-07-24 Junjie Liu , Hui Xu , Changqin Wu
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