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The proof of the existence of the thermodynamic limit for electrons and nuclei interacting via the Coulomb potential, in the framework of non-relativistic quantum mechanics, was accomplished decades ago. This result did not take account of…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Michael Loss

We consider two non-interacting systems embedded in a heat bath. If they remain dynamically independent, physical inconsistencies are avoided only if the single-system reduced dynamics is completely positive also beyond the weak-coupling…

Quantum Physics · Physics 2015-06-26 F. Benatti , R. Floreanini

Non-equilibrium states of quantum systems in contact with thermal baths help telling environments with different temperatures or different statistics apart. We extend these studies to a more generic problem that consists in discriminating…

We show that quantum absorption refrigerators, which have traditionally been studied as of three qubits, each of which is connected to a thermal reservoir, can also be constructed by using three qubits and two thermal baths, where two of…

Quantum Physics · Physics 2021-11-23 Ahana Ghoshal , Sreetama Das , Amit Kumar Pal , Aditi Sen De , Ujjwal Sen

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

Practical implementations of quantum technologies require preparation of states with a high degree of purity---or, in thermodynamic terms, very low temperatures. Given finite resources, the Third Law of thermodynamics prohibits perfect…

Recently the bound on the Lyapunov exponent $\lambda_L \le 2\pi T/ \hbar$ in thermal quantum systems was conjectured by Maldacena, Shenker, and Stanford. If we naively apply this bound to a system with a fixed Lyapunov exponent $\lambda_L$,…

High Energy Physics - Theory · Physics 2019-04-02 Takeshi Morita

We present quantitative predictions for quantum simulator experiments on Ising models from trapped ions to Rydberg chains and show how the thermalization, and thus decoherence times, can be controlled by considering common, independent, and…

Quantum Gases · Physics 2019-07-30 Daniel Jaschke , Lincoln D. Carr , Ines de Vega

We investigate the dependence of physical observable of open quantum systems with Bosonic bath on the bath correlation function. We provide an error estimate of the difference of physical observable induced by the variation of bath…

Numerical Analysis · Mathematics 2025-10-29 Kaizhao Liu , Jianfeng Lu

Quantum fluctuations of the electromagnetic vacuum impose an observable quantum limit to the lowest temperatures that can be reached with conventional laser cooling techniques. As laser cooling experiments continue to bring massive…

Quantum Physics · Physics 2017-02-01 Jeremy B. Clark , Florent Lecocq , Raymond W. Simmonds , Jose Aumentado , John D. Teufel

We construct a finite bath with variable temperature for quantum thermodynamic simulations in which heat flows between a system $\mathcal{S}$ and the bath environment $\mathcal{E}$ in time evolution of an initial $\mathcal{SE}$ pure state.…

Statistical Mechanics · Physics 2019-10-09 Phillip C. Lotshaw , Michael E. Kellman

We present here algorithmic cooling (via polarization-heat-bath)- a powerful method for obtaining a large number of highly polarized spins in liquid nuclear-spin systems at finite temperature. Given that spin-half states represent (quantum)…

Quantum Physics · Physics 2009-11-07 P. Oscar Boykin , Tal Mor , Vwani Roychowdhury , Farrokh Vatan , Rutger Vrijen

High-precision low-temperature thermometry is a challenge for experimental quantum physics and quantum sensing. Here we consider a thermometer modelled by a dynamically-controlled multilevel quantum probe in contact with a bath. Dynamical…

Quantum Physics · Physics 2019-12-17 Victor Mukherjee , Analia Zwick , Arnab Ghosh , Xi Chen , Gershon Kurizki

Algorithmic cooling (AC) is a method to purify quantum systems, such as ensembles of nuclear spins, or cold atoms in an optical lattice. When applied to spins, AC produces ensembles of highly polarized spins, which enhance the signal…

Heat-bath cooling is a component of practicable algorithmic cooling of spins, an approach which might be useful for in vivo 13C spectroscopy, in particular for prolonged metabolic processes where substrates that are hyperpolarized ex-vivo…

Quantum Physics · Physics 2015-05-30 Yuval Elias , Haggai Gilboa , Tal Mor , Yossi Weinstein

Combating the detrimental effects of noise remains a major challenge in realizing a scalable quantum computer. To help to address this challenge, we introduce a model realizing a controllable qubit-bath coupling using a sequence of LC…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 P. J. Jones , J. Salmilehto , M. Möttönen

We consider thermal relaxation process of a quantum system attached to a single or multiple reservoirs. Quantifying the degree of irreversibility by entropy production, we prove that the irreversibility of the thermal relaxation is…

Statistical Mechanics · Physics 2021-11-08 Tan Van Vu , Yoshihiko Hasegawa

Uncovering whether strong system-bath coupling can be an advantageous operation resource for energy conversion can facilitate the development of efficient quantum heat engines (QHEs). Yet, a consensus on this ongoing debate is still lacking…

Statistical Mechanics · Physics 2022-09-01 Junjie Liu , Kenneth A. Jung

We study the threshold for chaos and its relation to thermalization in the 1D mean-field Bose-Hubbard model, which in particular describes atoms in optical lattices. We identify the threshold for chaos, which is finite in the thermodynamic…

Other Condensed Matter · Physics 2009-01-23 Amy C. Cassidy , Douglas Mason , Vanja Dunjko , Maxim Olshanii

In this paper, we first derive a Sobolev inequality along the harmonic-Ricci flow. We then prove a linear parabolic estimate based on the Sobolev inequality and Moser's iteration. As an application, we will obtain an upper bound estimate…

Differential Geometry · Mathematics 2015-03-02 Shouwen Fang , Tao Zheng
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