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We consider a quantum system in contact with a heat bath consisting in an infinite chain of identical sub-systems at thermal equilibrium at inverse temperature $\beta$. The time evolution is discrete and such that over each time step of…

Mathematical Physics · Physics 2007-05-23 Stephane Attal , Alain Joye

The emergence of statistical mechanics from quantum dynamics is a central problem in quantum many-body physics. Deriving observables aligned with the prediction of the canonical ensemble for a quantum system relies on the presence of a bath…

Statistical Mechanics · Physics 2026-01-05 Nikolay V. Gnezdilov , Andrei I. Pavlov

Is the notion of a quantum computer resilient to thermal noise unphysical? We address this question from a constructive perspective and show that local quantum Hamiltonian models provide self-correcting quantum computers. To this end, we…

Quantum Physics · Physics 2013-05-31 H. Bombin , R. W. Chhajlany , M. Horodecki , M. A. Martin-Delgado

We study many-body properties of quantum harmonic oscillator lattices with disorder. A sufficient condition for dynamical localization, expressed as a zero-velocity Lieb-Robinson bound, is formulated in terms of the decay of the…

Mathematical Physics · Physics 2012-12-24 Bruno Nachtergaele , Robert Sims , Günter Stolz

We study thermalisation and spectral properties of extended systems connected, through their boundaries, to a thermalising Markovian bath. Specifically, we consider periodically driven systems modelled by brickwork quantum circuits where a…

Statistical Mechanics · Physics 2021-12-10 Pavel Kos , Tomaz Prosen , Bruno Bertini

Flows are omnipresent and govern the dynamics of plasma. Solar tornadoes are a class of apparently rotating prominences, that might be formed by thermal instability. In spectroscopic studies on thermal instability background flow is…

Solar and Stellar Astrophysics · Physics 2024-06-12 Joris Hermans , Rony Keppens

The equilibrium dynamics of a thin film type II superconductor with spherical geometry are investigated numerically in a simulation based on the lowest Landau level approximation to the time-dependent Ginzburg-Landau equation. Both the…

Superconductivity · Physics 2009-10-30 A. K. Kienappel , M. A. Moore

We use quantum Monte Carlo (QMC) simulations to study the combined effects of harmonic confinement and temperature for bosons in a two dimensional optical lattice. The scale invariant, finite temperature, state diagram is presented for the…

Quantum Gases · Physics 2015-03-18 K. W. Mahmud , E. N. Duchon , Y. Kato , N. Kawashima , R. T. Scalettar , N. Trivedi

The radiative cooling of optically thin gaseous regions and the formation of a two-phase medium and of cold gas clouds with a clumpy substructure is investigated. In optically thin clouds, the growth rate of small isobaric density…

Astrophysics · Physics 2009-10-31 A. Burkert , D. N. C. Lin

In this paper we study the thermal equilibration of small bipartite Bose-Hubbard systems, both quantum mechanically and in mean-field approximation. In particular we consider small systems composed of a single-mode "thermometer" coupled to…

Quantum Physics · Physics 2019-06-26 Ralf Bürkle , James R. Anglin

We use molecular dynamics to study the vibrations of a thermally fluctuating two-dimensional elastic membrane clamped at both ends. We directly extract the eigenmodes from resonant peaks in the frequency domain of the time-dependent height…

Soft Condensed Matter · Physics 2017-07-19 Duanduan Wan , David R. Nelson , Mark J. Bowick

We study the Langevin dynamics of a heteropolymer by means of a mode-coupling approximation scheme, giving rise to a set of coupled integro-differential equations relating the response and correlation functions. The analysis shows that…

Disordered Systems and Neural Networks · Physics 2007-05-23 Estelle Pitard , Eugene I. Shakhnovich

The 2D toric code is a prototypical example that exhibits non-trivial topological properties and a ground state possessing a non-trivial topological order. Until now, all the cases studied in the literature have been in the stable…

Quantum Physics · Physics 2024-11-01 Cesar Damian , Adriana Saldana-Robles , Michael von Spakovsky

In a general class of one and two dimensional Hubbard models, we prove upper bounds for the two-point correlation functions at finite temperatures for electrons, for electron pairs, and for spins. The upper bounds decay exponentially in one…

Statistical Mechanics · Physics 2009-10-30 Tohru Koma , Hal Tasaki

The stability of a discrete time crystal against thermal fluctuations has been studied numerically by solving a stochastic Landau-Lifshitz-Gilbert equation of a periodically-driven classical system composed of interacting spins, each of…

Statistical Mechanics · Physics 2022-03-24 Mingxi Yue , Xiaoqin Yang , Zi Cai

We use recently introduced three-point dynamic susceptibilities to obtain an experimental determination of the temperature evolution of the number of molecules, N_corr, that are dynamically correlated during the structural relaxation of…

In previous studies we identified two classes of starless cores, thermally subcritical and supercritical, distinguished by different dynamical behavior and internal structure. Here we study the evolution of the dynamically-unstable,…

Astrophysics of Galaxies · Physics 2015-05-13 Eric Keto , Paola Caselli

The color code is a topological quantum error-correcting code supporting a variety of valuable fault-tolerant logical gates. Its two-dimensional version, the triangular color code, may soon be realized with currently available…

Quantum Physics · Physics 2020-06-24 Christopher Chamberland , Aleksander Kubica , Theodore J. Yoder , Guanyu Zhu

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

Quantum Physics · Physics 2011-07-05 D. M. Valente , A. O. Caldeira

We propose and study a model of a quantum memory that features self-correcting properties and a lifetime growing arbitrarily with system size at non-zero temperature. This is achieved by locally coupling a 2D L x L toric code to a 3D bath…

Quantum Physics · Physics 2013-12-13 Fabio L. Pedrocchi , Adrian Hutter , James R. Wootton , Daniel Loss