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We treat the Cooper pairs in the superconducting electrodes of a Josephson junction (JJ) as an open system, coupled via Andreev scattering to external baths of electrons. The disequilibrium between the baths generates the direct-current…

Quantum Physics · Physics 2023-11-13 Robert Alicki , Michał Horodecki , Alejandro Jenkins , Marcin Łobejko , Gerardo Suárez

When a small system is coupled to a bath, it is generally assumed that the state of the bath remains unaffected by the system due to the bath's large number of degrees of freedom. Here we show theoretically that this assumption can be…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Samuel Cailleaux , Quentin Ficheux , Nicolas Roch , Denis M. Basko

We investigate the macroscopic dynamics of Josephson charge pumps in the light of Alicki et al.'s theoretical description of the Josephson junction as an open quantum system described by a Markovian master equation. Once the electrostatic…

Quantum Physics · Physics 2025-09-30 Ankit Kumar , Luis Cort , Marcin Łobejko , Alejandro Jenkins , Michał Horodecki

Strictly speaking the laws of the conventional Statistical Physics, based on the Equipartition Postulate and Ergodicity Hypothesis, apply only in the presence of a heat bath. Until recently this restriction was not important for real…

Disordered Systems and Neural Networks · Physics 2016-04-27 M. Pino , B. L. Altshuler , L. B. Ioffe

We analyse the dynamics of quantum correlations between two qubits coupled to a linear chain of oscillators. The chain mediates interactions between the qubits and acts as a non-Markovian reservoir. The the model is amenable to an…

Quantum Physics · Physics 2023-11-21 Sayan Roy , Christian Otto , Raphaël Menu , Giovanna Morigi

We consider a clean Josephson-junction chain coupled by one of its extremities to a thermal bath through a resistance. Considering the Langevin dynamics in the classical regime, in the case of Josephson energy much smaller than charging…

Superconductivity · Physics 2026-02-11 Angelo Russomanno

We introduce a functional perturbative method for treating weakly nonlinear systems coupled with a quantum field bath. We demonstrate using this method to obtain the covariance matrix elements and the correlation functions of a quantum…

High Energy Physics - Theory · Physics 2020-07-01 Jen-Tsung Hsiang , B. L. Hu

The quantum dynamics of a low-dimensional system in contact with a large but finite harmonic bath is theoretically investigated by coarse-graining the bath into a reduced set of effective energy states. In this model, the couplings between…

Chemical Physics · Physics 2024-01-29 Loïse Attal , Cyril Falvo , Florent Calvo , Pascal Parneix

A rapid restoration of the bath state is usually required to induce Markovian dynamics for an open quantum system, which typically can be realized only in limits such as weak system-bath coupling and infinitely large bath. In this work, we…

Quantum Physics · Physics 2018-01-01 Shengshi Pang , Todd A. Brun , Andrew N. Jordan

We investigate the behavior in time of the energy current between a quantum spin chain and its surrounding non-Markovian, finite temperature baths, together with its relationship to the coherence dynamics of the system. To be specific, both…

Quantum Physics · Physics 2022-10-26 Arapat Ablimit , Run-Hong He , Yang-Yang Xie , Zhao-Ming Wang

We investigate the dynamical properties of low dimensional systems, driven by external noise sources. Specifically we consider a resistively shunted Josephson junction and a one dimensional quantum liquid in a commensurate lattice…

Quantum Gases · Physics 2012-07-23 Emanuele G. Dalla Torre , Eugene Demler , Thierry Giamarchi , Ehud Altman

We present a unified, quantitative description of transport across the crossover between hydrodynamic weak-link flow and tunneling-dominated Josephson dynamics in a three-dimensional quantum fluid. Using an atomic Josephson junction…

Quantum Gases · Physics 2026-05-26 Vijay Pal Singh , Erik Bernhart , Marvin Röhrle , Herwig Ott , Ludwig Mathey , Luigi Amico

We study the quantum dynamics of Josephson junction arrays. We find isolated groups of low-entanglement eigenstates, that persist even when the Josephson interaction is strong enough to destroy the organization of the spectrum in…

Statistical Mechanics · Physics 2022-07-22 Angelo Russomanno , Michele Fava , Rosario Fazio

Josephson junction (JJ) chains combine the coherence of superconductivity with the controllability of microwave-frequency circuits, making them a powerful platform for circuit quantum electrodynamics. In this work we consider a long JJ…

Superconductivity · Physics 2026-04-06 Lucia Vigliotti , Andrew P. Higginbotham , Maksym Serbyn

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

Open system dynamics in a classical setting is microscopically governed by the structure of the thermal environment which influences the dynamics of the probe particle (free or in an external potential). Nonlinear baths have recently been…

Statistical Mechanics · Physics 2018-07-20 Chitrak Bhadra , Ion Santra , Dhruba Banerjee

The evolution of a quantum system towards thermal equilibrium is usually studied by approximate methods, which have their limits of validity and should be checked against analytically solvable models. In this paper, we propose an…

Quantum Physics · Physics 2020-05-04 Zhao-Ming Wang , Da-Wei Luo , Baowen Li , Lian-Ao Wu

Coupling a quantum particle to a fermionic bath suppresses the particle's amplitude to tunnel, even at zero temperature. While this effect can generally be neglected for gapped baths -- a key feature for superconducting qubits -- , it is…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Elis Roberts , Jan Behrends , Benjamin Béri

We propose a novel platform for the study of quantum phase transitions in one dimension (1D QPT). The system consists of a specially designed chain of asymmetric SQUIDs; each SQUID contains several Josephson junctions with one junction…

Strongly Correlated Electrons · Physics 2018-12-04 M. T. Bell , B. Doucot , M. E. Gershenson , L. B. Ioffe , A. Petkovic

At first, we generally investigate the short-time decoherence of a qubit nonlinearly coupling with a bath. The measure of the decoherence is chosen as the maximum norm of the deviation density operator. Then we concretely investigate the…

Quantum Physics · Physics 2009-11-10 Xian-Ting Liang , Yong-Jian Xiong
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