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A key quantity characterizing a time-periodically forced quantum system coupled to a heat bath is the energy flowing in the steady state through the system into the bath, where it is dissipated. We derive a general expression which allows…

Quantum Physics · Physics 2015-06-18 Matthias Langemeyer , Martin Holthaus

The transition rate for a two-state system interacting with a bosonic heat bath, from the initial state `up' at time t=0 to `down' at time t>0, was derived formally in the seminal paper [12] by Leggett, Chakravarty, Dorsey, Fisher, Garg and…

Mathematical Physics · Physics 2012-12-11 Marco Merkli , Haifeng Song

In this article, we derive the stochastic master equations corresponding to the statistical model of a heat bath. These stochastic differential equations are obtained as continuous time limits of discrete models of quantum repeated…

Quantum Physics · Physics 2010-06-17 Ion Nechita , Clément Pellegrini

Material defects fundamentally limit the coherence times of superconducting qubits, and manufacturing completely defect-free devices is not yet possible. Therefore, understanding the interactions between defects and a qubit in a real…

Derivation of a quantum master equation for a system weakly coupled to a bath which takes into account nonsecular effects, but nevertheless has the mathematically correct Gorini-Kossakowski-Lindblad-Sudarshan form (in particular, it…

Quantum Physics · Physics 2021-07-27 Anton Trushechkin

Quantum superposition of energy eigenstates can appear autonomously in a single quantum two-level system coupled to a low-temperature thermal bath, if such coupling has a proper composite nature. We propose here a principally different and…

Quantum Physics · Physics 2023-12-18 Michal Kolář , Radim Filip

Phonon modes within pristine crystalline resonators now routinely reach the quantum ground state. Such systems are attractive for quantum information science applications, as advanced fabrication and processing can enable relatively long…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Ryan O. Behunin , Taylor Ray , Dylan Chapman , Andrew J. Shepherd , Yizhi Luo , Peter T. Rakich

Recently, a sufficient condition on the structure of the Kossakowski-Lindblad master equation has been given such that the generated reduced dynamics of two qubits results entangling for at least one among their initial separable pure…

Quantum Physics · Physics 2009-11-13 Fabio Benatti , Alexandra M. Liguori , Adam Nagy

Recent studies have investigated the role of entanglement in the operation of a two-qubit system as a heat engine, showing that work can be extracted from a single heat bath without direct heat dissipation between the two-qubit system and…

Quantum Physics · Physics 2025-02-10 Hachem Tarif , Abdallah Slaoui , Rachid Ahl Laamara

A fully quantum multiphonon up-pumping model is proposed to characterize coherent energy transfer in energetic materials (EMs) subjected to external shock. After eliminating the degrees of freedom of the phonon bath within a mean-field…

Quantum Physics · Physics 2026-05-20 Jiong Cheng , Yanqiang Yang , Wenlin Li , Xun Li

The dynamics of a wide range of technologically important quantum systems are dominated by their interaction with just a few environmental modes. Such highly structured environments give rise to long-lived bath correlations that induce…

These lecture notes address an audience of physicists or mathematicians who have been exposed to a first course in quantum mechanics. We start with a brief discussion of the general "system-bath" paradigm of quantum dissipative systems,…

Quantum Physics · Physics 2008-09-26 Florian Marquardt , Annett Püttmann

Superconducting Josephson junction qubits constitute the main current technology for many applications, including scalable quantum computers and thermal devices. Theoretical modeling of such systems is usually done within the two-level…

Quantum Physics · Physics 2021-02-12 Aravind Plathanam Babu , Jani Tuorila , Tapio Ala-Nissila

We investigate the effect of dissipation in a Bose-Josephson junction (BJJ) coupled to bath of bosons at two sites. Apart from the dynamical transition due to repulsive interactions, the BJJ undergoes a quantum phase transition by…

Quantum Gases · Physics 2019-09-18 Sudip Sinha , S. Sinha

Quantum dissipation in thermal environment is investigated, using the path integral approach. The reduced density matrix of the harmonic oscillator system coupled to thermal bath of oscillators is derived for arbitrary spectrum of bath…

High Energy Physics - Theory · Physics 2009-10-30 I. Joichi , Sh. Matsumoto , M. Yoshimura

The minimal bound of the thermodynamic uncertainty relation (TUR) is modulated from that of the classical counterpart ($\mathcal{Q}_{\rm min}=2$) when a quantumness is present in the dynamical process far from equilibrium. A recent study on…

Statistical Mechanics · Physics 2025-07-21 Kwang Hyun Cho , Hyukjoon Kwon , Changbong Hyeon

The second law of thermodynamics sets a lower bound on the work required to drive a system between thermal equilibrium states, with equality attained in the quasistatic limit. For finite-time processes, part of the extractable work is…

Quantum Physics · Physics 2025-11-20 Masaaki Tokieda

Dissipationless localized bound states of open quantum systems are significantly robust to decoherence and have potential applications in quantum technologies. In this work, the decoherence dynamics and dissipationless localized bound…

Quantum Physics · Physics 2024-10-29 Chia-Yi Lin , Chuan-Zhe Yao , Hon-Lam Lai , Chin-Chun Tsai , Wei-Min Zhang

We study the dynamics of a Lipkin-Meshkov-Glick model in the presence of Markovian dissipation, with a focus on late-time dynamics and the approach to thermal equilibrium. Making use of a vectorized bosonic representation of the…

Quantum Physics · Physics 2020-10-07 Jan C. Louw , Michael Kastner , Johannes N. Kriel

Open quantum systems with nearly degenerate energy levels have been shown to exhibit long-lived metastable states in the approach to equilibrium, even when modelled with certain Lindblad-form quantum master equations. This is a result of…

Quantum Physics · Physics 2024-02-16 Matthew Gerry , Michael J. Kewming , Dvira Segal
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