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Quantum systems of interest are typically coupled to several quantum channels (more generally environments). In this paper, we develop an exact stochastic Schr\"{o}dinger equation for an open quantum system coupled to a hybrid environment…

Quantum Physics · Physics 2017-05-11 Xinyu Zhao , Wufu Shi , J. Q. You , Ting Yu

We consider quantum decoherence in solid-state systems by studying the transverse dynamics of a single qubit interacting with a fermionic bath and driven by external pulses. Our interest is in investigating the extent to which the lost…

Mesoscale and Nanoscale Physics · Physics 2008-07-10 R. M. Lutchyn , L. Cywinski , Cody P. Nave , S. Das Sarma

We revisit the particle-hole symmetry of the one-dimensional ($D=1$) fermionic spinless Hubbard model, associating that symmetry to the invariance of the Helmholtz free energy of the one-dimensional spin-1/2 $XXZ$ Heisenberg model, under…

Statistical Mechanics · Physics 2014-07-09 M. T. Thomaz , E. V. Corrêa Silva , O. Rojas

Starting from the formal solution to the Heisenberg equation, we revisit an universal model for a quantum open system with a harmonic oscillator linearly coupled to a boson bath. The analysis of the decay process for a Fock state and a…

Quantum Physics · Physics 2015-06-11 X. Xiao , Y. B. Gao

We study the thermalization properties of one-dimensional open quantum systems coupled to baths at their boundary. The baths are driven to their thermal states via Lindblad operators, while the system undergoes Hamiltonian dynamics. We…

Strongly Correlated Electrons · Physics 2023-08-02 Cristian Zanoci , Yongchan Yoo , Brian Swingle

In this article we revisit the theory of open quantum systems from the perspective of fermionic baths. Specifically, we concentrate on the dynamics of a central spin half particle interacting with a spin bath. We have calculated the exact…

Quantum Physics · Physics 2021-09-14 Samyadeb Bhattacharya , Subhashish Banerjee

Relations between Hamiltonian mechanics and quantum mechanics are studied. It is stressed that classical mechanics possesses all the specific features of quantum theory: operators, complex variables, probabilities (in case of ergodic…

Quantum Physics · Physics 2007-05-23 L. V. Prokhorov

Understanding the behavior of interacting fermions is of fundamental interest in many fields ranging from condensed matter to high energy physics. Developing numerically efficient and accurate simulation methods is an indispensable part of…

Strongly Correlated Electrons · Physics 2017-08-03 Shainen M. Davidson , Dries Sels , Anatoli Polkovnikov

We study the quantum dynamics of a homogeneous ideal Fermi gas coupled to an impurity particle on a three-dimensional box with periodic boundary condition. For large Fermi momentum $k_\text{F}$, we prove that the effective dynamics is…

Mathematical Physics · Physics 2025-01-15 Duc Viet Hoang , Peter Pickl

In this work, we put forward the theoretical foundation toward thermodynamics of quantum impurity systems measurable in experiments. The theoretical developments involve the identifications on two types of thermodynamic entanglement…

Quantum Physics · Physics 2021-06-24 Hong Gong , Yao Wang , Hou-Dao Zhang , Rui-Xue Xu , Xiao Zheng , YiJing Yan

We consider energetics and structural properties of a many particle system in one dimension with pairwise contact interactions confined in a parabolic external potential. To render the problem analytically solvable, we use the harmonic…

Quantum Gases · Physics 2012-12-20 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

In this Rapid Communication we show that low energy macroscopic properties of the one-dimensional (1D) attractive Hubbard model exhibit two fluids of bound pairs and of unpaired fermions. Using the thermodynamic Bethe ansatz equations of…

Strongly Correlated Electrons · Physics 2018-04-11 Song Cheng , Yi-Cong Yu , Murray T Batchelor , Xi-Wen Guan

We investigate the dynamics of entanglement between the system and the environment during thermalization of a noninteracting fermionic impurity coupled to a fermionic thermal bath. We show that transient entanglement can be observed even in…

Quantum Physics · Physics 2023-11-03 Krzysztof Ptaszynski , Massimiliano Esposito

Quantum simulations can provide new insights into the physics of strongly correlated electronic systems. A well studied system, but still open in many regards, is the Hubbard-Holstein Hamiltonian, where electronic repulsion is in…

Strongly Correlated Electrons · Physics 2021-12-08 Utso Bhattacharya , Tobias Graß , Adrian Bachtold , Maciej Lewenstein , Fabio Pistolesi

We present a canonical derivation of an influence superoperator which generates the reduced dynamics of a Fermionic quantum system linearly coupled to a Fermionic environment initially at thermal equilibrium. We use this formalism to derive…

Quantum Physics · Physics 2023-01-19 Mauro Cirio , Po-Chen Kuo , Yueh-Nan Chen , Franco Nori , Neill Lambert

In this work we analyze how effects of finite size may modify the thermodynamics of a system of strongly interacting fermions that we model using an effective field theory with four-point interactions at finite temperature and density and…

High Energy Physics - Theory · Physics 2015-06-11 Antonino Flachi

We study a system coupled to external degrees of freedom, called bath, where we assume that the total system, consisting of system and bath is in equilibrium. An expansion in the coupling between system and bath leads to a general form of…

Mesoscale and Nanoscale Physics · Physics 2016-01-19 Iris Schwenk , Michael Marthaler

In a recent article, Kwon et al. [Nature (London) {\bf 600}, 64 (2021)] revealed nonuniversal dissipative dynamics of quantum vortices in a fermionic superfluid. The enhancement of the dissipative process is pronounced for the…

Quantum Gases · Physics 2023-01-30 Andrea Barresi , Antoine Boulet , Piotr Magierski , Gabriel Wlazłowski

It is possible to extract work from a quantum-mechanical system whose dynamics is governed by a time-dependent cyclic Hamiltonian. An energy bath is required to operate such a quantum engine in place of the heat bath used to run a…

Quantum Physics · Physics 2009-11-07 C. M. Bender , D. C. Brody , B. K. Meister

We study thermalization in a one-dimensional quantum system consisting of a noninteracting fermionic chain with each site of the chain coupled to an additional bath site. Using a density matrix renormalization group algorithm we investigate…

Statistical Mechanics · Physics 2013-03-14 N. Sedlmayr , J. Ren , F. Gebhard , J. Sirker
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