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Thermodynamic computing has emerged as a promising paradigm for accelerating computation by harnessing the thermalization properties of physical systems. This work introduces a novel approach to solving quadratic programming problems using…

In recent decades, cold atom experiments have become increasingly complex. While computers control most parameters, optimization is mostly done manually. This is a time-consuming task for a high-dimensional parameter space with unknown…

Quantum Physics · Physics 2013-09-03 I. Geisel , K. Cordes , J. Mahnke , S. Jöllenbeck , J. Ostermann , J. Arlt , W. Ertmer , C. Klempt

Quantum speed limit (QSL) for open quantum systems in the non-Markovian regime is analyzed. We provide a the lower bound for the time required to transform an initial state to a final state in terms of thermodynamic quantities such as the…

Quantum Physics · Physics 2021-10-11 Arpan Das , Anindita Bera , Sagnik Chakraborty , Dariusz Chruściński

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 consider a thermofield approach to analyze the evolution of an open quantum system coupled to an environment at finite temperature. In this approach, the finite temperature environment is exactly mapped onto two virtual environments at…

Quantum Physics · Physics 2015-11-25 Ines de Vega , Mari-Carmen Bañuls

We propose a revisited variational quantum solver for linear systems, designed to circumvent the barren plateau phenomenon by combining two key techniques: adiabatic evolution and warm starts. To this end, we define an initial Hamiltonian…

Quantum Physics · Physics 2026-02-18 Claudio Sanavio , Fabio Mascherpa , Alessia Marruzzo , Alfonso Amendola , Sauro Succi

We present a generalization of the classical Wang-Landau algorithm [Phys. Rev. Lett. 86, 2050 (2001)] to quantum systems. The algorithm proceeds by stochastically evaluating the coefficients of a high temperature series expansion or a…

Statistical Mechanics · Physics 2009-09-29 Matthias Troyer , Stefan Wessel , Fabien Alet

Quantum many-body dynamics generically results in increasing entanglement that eventually leads to thermalization of local observables. This makes the exact description of the dynamics complex despite the apparent simplicity of…

Quantum Physics · Physics 2022-10-05 Thomas Klein Kvorning , Loïc Herviou , Jens H. Bardarson

The Eigenstate Thermalization Hypothesis (ETH) has played a major role in understanding thermodynamic phenomena in closed quantum systems. However, its connection to the timescale of thermalization for open system dynamics has remained…

Quantum Physics · Physics 2023-03-30 Chi-Fang Chen , Fernando G. S. L. Brandão

We characterize finite-time thermodynamic processes of multidimensional quadratic overdamped systems. Analytic expressions are provided for heat, work, and dissipation for any evolution of the system covariance matrix. The Bures-Wasserstein…

Statistical Mechanics · Physics 2022-11-28 Paolo Abiuso , Viktor Holubec , Janet Anders , Zhuolin Ye , Federico Cerisola , Martí Perarnau-Llobet

Using a Krylov-subspace time evolution algorithm, we simulate the real-time dynamics of translation invariant non-integrable finite spin rings to quite long times with high accuracy. We systematically study the finite-size deviation between…

Quantum Physics · Physics 2025-05-26 Ivo A. Maceira , Andreas M. Läuchli

We propose a variational formulation for the nonequilibrium thermodynamics of discrete open systems, i.e., discrete systems which can exchange mass and heat with the exterior. Our approach is based on a general variational formulation for…

Mathematical Physics · Physics 2018-12-05 François Gay-Balmaz , Hiroaki Yoshimura

We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

Statistical Mechanics · Physics 2025-07-29 Marco Cattaneo , Marco Baldovin , Dario Lucente , Paolo Muratore-Ginanneschi , Angelo Vulpiani

We study the problem of optimal control of dissipative quantum dynamics. Although under most circumstances dissipation leads to an increase in entropy (or a decrease in purity) of the system, there is an important class of problems for…

Quantum Physics · Physics 2009-11-10 Shlomo E. Sklarz , David J. Tannor , Navin Khaneja

There is presently considerable interest in accurately simulating the evolution of open systems for which Markovian master equations fail. Examples are systems that are time-dependent and/or strongly damped. A number of elegant methods have…

Quantum Physics · Physics 2014-04-23 Luciano Silvestri , Kurt Jacobs , Vanja Dunjko , Maxim Olshanii

We investigate the relaxation dynamics of open non-integrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism. We simulate the Lindblad quantum master equation (LQME) of infinite systems by making…

Statistical Mechanics · Physics 2021-04-21 Hayate Nakano , Tatsuhiko Shirai , Takashi Mori

Solving linear ordinary differential equations (ODE) is one of the most promising applications for quantum computers to demonstrate exponential advantages. The challenge of designing a quantum ODE algorithm is how to embed non-unitary…

Quantum Physics · Physics 2025-10-30 Zhong-Xia Shang , Naixu Guo , Dong An , Qi Zhao

We introduce a variational approach for preparing low energy states of arbitrary target Hamiltonians. The protocol is defined in terms of a repeated cycle consisting of p layers of unitary gates applied to the system and ancilla "bath"…

Quantum Physics · Physics 2025-10-14 Jeffrey Z. Song , Gilad Kishony , Erez Berg , Mark S. Rudner

Liouvillian dynamics describes the evolution of a density operator in closed quantum systems. One extension towards open quantum systems is provided by the Lindblad equation. It is applied to various systems and energy regimes in solid…

Quantum Physics · Physics 2024-10-16 Jan Rais , Adrian Koenigstein , Niklas Zorbach , Carsten Greiner

We model the dynamics of a closed quantum system brought out of mechanical equilibrium, undergoing a non-driven, spontaneous, thermodynamic transformation. In particular, we consider a quantum particle in a box with a moving and insulating…

Quantum Physics · Physics 2024-02-21 Sofia Sgroi , Mauro Paternostro
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