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The interaction of a quantum deformed oscillator with the environment is studied deriving a master equation whose form strongly depends on the type of deformation.

Quantum Physics · Physics 2009-10-31 S. Mancini

The standard {\em system-plus-reservoir} approach used in the study of dissipative systems can be meaningfully generalized to a dissipative coupling involving the momentum, instead of the coordinate: the corresponding equation of motion…

Statistical Mechanics · Physics 2009-11-07 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

The ability to isolate a quantum system from its environment is of fundamental interest and importance in optical quantum science and technology. Here we propose an experimentally feasible scheme for beating environment-induced dissipation…

Quantum Physics · Physics 2024-07-15 Yi-Ming Xia , Yi-Fei Wang , Xiao-Yun Zhang , Hai-Chao Li , Wei Xiong

In this letter, we introduce a novel method for investigating dissipation (gain) and thermalization in an open quantum system. In this method, the quantum system is coupled linearly with a copy of itself or with another system described by…

Modeling the environment of a single qubit as an N dimensional quantum system, we show that the dynamics of the qubit alone, if measured in sufficient detail, can reveal the parameters of the qubit-environment coupling Hamiltonian. We show…

Quantum Physics · Physics 2015-10-02 Vinayak Jagadish , Anil Shaji

For studying the dynamics of a two-level system coupled to a quantum oscillator we have presented an analytical approach, the transformed rotating-wave approximation, which takes into account the effect of the counter-rotating terms but…

Quantum Physics · Physics 2015-05-13 Congjun Gan , Hang Zheng

We introduce a new theoretical approach to dissipative quantum systems. By means of a continuous sequence of infinitesimal unitary transformations, we decouple the small quantum system that one is interested in from its thermodynamically…

Condensed Matter · Physics 2016-08-31 Stefan K. Kehrein , Andreas Mielke

Current fluctuations in a dissipative two-state system have been studied using a novel quantum dynamics simulation method. After a transformation of the path integrals, the tunneling dynamics is computed by deterministic integration over…

Statistical Mechanics · Physics 2009-10-31 J. Stockburger , C. H. Mak

Dissipation is inevitable in realistic quantum circuits. We examine the effects of dissipation on a class of monitored random circuits that exhibit a measurement-induced entanglement phase transition. This transition has previously been…

Statistical Mechanics · Physics 2023-10-13 Yue Li , Martin Claassen

Dissipation is unavoidable in quantum systems. It usually induces decoherences and changes quantum correlations. To access the information of strongly correlated quantum matters, one has to overcome or suppress dissipation to extract out…

Quantum Gases · Physics 2025-12-29 Yajuan Zhao , Ye Tian , Jilai Ye , Yue Wu , Zihan Zhao , Zhihao Chi , Tian Tian , Hepeng Yao , Jiazhong Hu , Yu Chen , Wenlan Chen

In this chapter we treat the quantum damped harmonic oscillator, and study mathematical structure of the model, and construct general solution with any initial condition, and give a quantum counterpart in the case of taking coherent state…

Quantum Physics · Physics 2012-09-10 Kazuyuki Fujii

We investigate the behavior of correlations dynamics in a dissipative gain-loss system. First, we consider a setup made of two coupled lossy oscillators, with one of them subject to a local gain. This provides a more realistic platform to…

Quantum Physics · Physics 2023-05-24 Federico Roccati , Archak Purkayastha , G. Massimo Palma , Francesco Ciccarello

We reveal several distinct regimes of the relaxation dynamics of a small quantum system coupled to an environment within the plane of the dissipation strength and the reservoir temperature. This is achieved by discriminating between…

Quantum Physics · Physics 2015-06-17 D. M. Kennes , O. Kashuba , V. Meden

The dissipative harmonic oscillator has two representations. In the first representation the central oscillator couples with its position to an oscillator bath. In the second one it couples with its momentum to the bath. Both…

Statistical Mechanics · Physics 2015-06-04 Heiner Kohler , Fernando Sols

The quantum dynamics of a simplest dissipative system, a particle moving in a constant external field , is exactly studied by taking into account its interaction with a bath of Ohmic spectral density. We apply the main idea and methods…

High Energy Physics - Theory · Physics 2019-08-17 Sun , C. P , L. H. Yu

We investigate a resonantly modulated harmonic mode, dispersively coupled to a nonequilibrium few-level quantum system. We focus on the regime where the relaxation rate of the system greatly exceeds that of the mode, and develop a quantum…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Z. Maizelis , M. Rudner , M. I. Dykman

We derive a microscopic model for dissipative dynamics in a system of mutually interacting qubits coupled to a thermal bath that generalises the dissipative model of Landau-Lifschitz-Gilbert to the case of anisotropic bath couplings. We…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Philip J D Crowley , A G Green

We provide an analytical investigation of the entanglement dynamics for a system composed of an arbitrary number of qubits dissipating into a common environment. Specifically we consider initial states whose evolution remains confined on…

Quantum Physics · Physics 2013-04-08 Laleh Memarzadeh , Stefano Mancini

A method is discussed to analyze the dynamics of a dissipative quantum system. The method hinges upon the definition of an alternative (time-dependent) product among the observables of the system. In the long time limit this yields a…

We quantitatively analyze the dynamics of the quantum phase distribution associated with the reduced density matrix of a system, as the system evolves under the influence of its environment with an energy-preserving quantum nondemolition…

Quantum Physics · Physics 2009-11-13 Subhashish Banerjee , Joyee Ghosh , R. Ghosh