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Quantum systems are unavoidably open to their surrounding degrees of freedom. The theory of open quantum systems is thus crucial to understanding the fluctuations, dissipation, and decoherence of a quantum system of interest. Typically, the…

Quantum Physics · Physics 2024-05-08 Ken Funo , Akihito Ishizaki

A master equation for the deformed quantum harmonic oscillator interacting with a dissipative environment, in particular with a thermal bath, is derived in the microscopic model by using perturbation theory. The coefficients of the master…

Quantum Physics · Physics 2009-11-13 A. Isar , W. Scheid

Understanding the dynamics of dissipative quantum systems, particularly beyond the weak coupling approximation, is central to various quantum applications. While numerically exact methods provide accurate solutions, they often lack the…

Quantum Physics · Physics 2024-06-26 Marlon Brenes , Brett Min , Nicholas Anto-Sztrikacs , Nir Bar-Gill , Dvira Segal

We extend the quantum theory of dissipation in the context of system-reservoir model, where the reservoir in question is kept in a nonequilibrium condition. Based on a systematic separation of time scales involved in the dynamics,…

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

All existing heat machines are dissipative open systems. Hence, they cannot operate fully coherently. We propose to replace this conventional thermodynamic paradigm by a completely different one, whereby heat machines are nonlinear coherent…

The Brownian dynamics of the density operator for a quantum system interacting with a classical heat bath is described using a stochastic, non-linear Liouville equation obtained from a variational principle. The environment's degrees of…

Quantum Physics · Physics 2015-06-26 M. Grigorescu

We demonstrate that the dynamics of an open quantum system can be calculated efficiently and with predefined error, provided a basis exists in which the system-environment interactions are local and hence obey the Lieb-Robinson bound. We…

Quantum Physics · Physics 2015-03-19 Giulia Gualdi , Christiane P. Koch

An explicit demonstration is given of a harmonic oscillator in equilibrium approaching the equilibrium of a corresponding interacting system by coupling it to a thermal bath consisting of a continuum of harmonic oscillators.

Quantum Physics · Physics 2007-06-27 Vinay Ambegaokar

Quantum mechanical entanglement can exist in noisy open quantum systems at high temperature. A simple mechanism, where system particles are randomly reset to some standard initial state, can counteract the deteriorating effect of…

Quantum Physics · Physics 2007-08-07 L. Hartmann , W. Dür , H. -J. Briegel

We propose a relationship between thermodynamic phase transitions and ground-state quantum phase transitions in systems with variable Hamiltonian parameters. It is based on a link between zeros of the canonical partition function at complex…

Nuclear Theory · Physics 2009-11-10 Pavel Cejnar , Stefan Heinze , Jan Dobes

This work presents a unified dissipaton-equation-of-motion (DEOM) theory and its evaluations on the Helmholtz free energy change due to the isotherm mixing of two isolated subsystems. One is a local impurity and another is a nonlocal…

Statistical Mechanics · Physics 2021-11-19 Hong Gong , Yao Wang , Hou-Dao Zhang , Qin Qiao , Rui-Xue Xu , Xiao Zheng , YiJing Yan

The effective theory of an open boson or fermion system is studied, which evolves out of equilibrium with time-dependent Hamiltonian $\hat{H}(t)$. A measure of nonequilibrium temperature for the open system evolving from an equilibrium is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Sang Pyo Kim

Coherent quantum oscillators are basic physical systems both in quantum statistical physics and quantum thermodynamics. Their realizations in lab often involve solid-state devices sensitive to changes in ambient temperature. We represent…

Quantum Physics · Physics 2019-08-13 Michal Kolář , Artem Ryabov , Radim Filip

We review the non-zero temperature relaxational dynamics of quantum systems near a zero temperature, second-order phase transition. We begin with the quantum Ising chain, for which universal and exact results for the relaxation rates can be…

Strongly Correlated Electrons · Physics 2017-08-23 Subir Sachdev

We introduce a finite-time protocol that thermalizes a quantum harmonic oscillator, initially in its ground state, without requiring a macroscopic bath. The method uses a second oscillator as an effective environment and implements sudden…

Quantum Physics · Physics 2026-05-05 M. Harinarayanan , Karthik Rajeev

We investigate two prototypical dissipative bosonic systems under slow driving and arbitrary system-bath coupling strength, recovering their dynamic evolution as well as the heat and work rates, and we verify that thermodynamic laws are…

Mesoscale and Nanoscale Physics · Physics 2018-03-01 Maicol A. Ochoa , Natalya Zymbovskaya , Abraham Nitzan

A non-Markovian stochastic Schroedinger equation for a quantum system coupled to an environment of harmonic oscillators is presented. Its solutions, when averaged over the noise, reproduce the standard reduced density operator without any…

Quantum Physics · Physics 2009-10-31 Walter T Strunz , Lajos Diosi , Nicolas Gisin

We present a detailed thermodynamic analysis of a three-level quantum heat engine coupled continuously to hot and cold reservoirs. The system is driven by an oscillating external field and is described by the Markovian quantum master…

Quantum Physics · Physics 2021-10-07 Pablo Bayona-Pena , Kazutaka Takahashi

Recent experimental and theoretical progress as well as the prospect of commercially viable quantum technologies have inspired great interest in the study of open quantum systems and their dynamics. Many open quantum systems are well…

Statistical Mechanics · Physics 2022-06-10 Marvin Syed , Tilman Enss , Nicolò Defenu