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When a quantum system is placed in thermal environments, we often assume that the system relaxes to the Gibbs state in which decoherence takes place in the system energy eigenbasis. However, when the coupling between the system and the…

Quantum Physics · Physics 2019-12-03 Ketan Goyal , Ryoichi Kawai

We show that thermal states of local Hamiltonians are separable above a constant temperature. Specifically, for a local Hamiltonian $H$ on a graph with degree $\mathfrak{d}$, its Gibbs state at inverse temperature $\beta$, denoted by $\rho…

Quantum Physics · Physics 2025-02-25 Ainesh Bakshi , Allen Liu , Ankur Moitra , Ewin Tang

The local physical properties of an isolated quantum statistical system in the stationary state reached long after a quench are generically described by the Gibbs ensemble, which involves only its Hamiltonian and the temperature as a…

Statistical Mechanics · Physics 2017-06-13 Laura Foini , Andrea Gambassi , Robert Konik , Leticia F. Cugliandolo

Drawing inspiration from transportation theory, in this work we introduce the notions of "well-structured" and "stable" Gibbs states and we investigate their implications for quantum thermodynamics and its resource theory approach via…

Quantum Physics · Physics 2024-12-10 Frederik vom Ende , Emanuel Malvetti

The passive states of a quantum system minimize the average energy among all the states with a given spectrum. We prove that passive states are the optimal inputs of single-jump lossy quantum channels. These channels arise from a weak…

Quantum Physics · Physics 2016-07-06 Giacomo De Palma , Andrea Mari , Seth Lloyd , Vittorio Giovannetti

We develop a general perturbative theory of finite-coupling quantum thermometry up to second order in probe-sample interaction. By assumption, the probe and sample are in thermal equilibrium, so the probe is described by the mean-force…

We present two linked theorems on passivity: the passive behavior theorem, parts 1 and 2. Part 1 provides necessary and sufficient conditions for a general linear system, described by a set of high order differential equations, to be…

Systems and Control · Computer Science 2018-01-24 Timothy H. Hughes

We argue that thermal machines can be understood from the perspective of `virtual qubits' at `virtual temperatures': The relevant way to view the two heat baths which drive a thermal machine is as a composite system. Virtual qubits are…

Quantum Physics · Physics 2012-08-14 Nicolas Brunner , Noah Linden , Sandu Popescu , Paul Skrzypczyk

We give the first example of a smooth family of real and complex maps having sensitive dependence of geometric Gibbs states at positive temperature. This family consists of quadratic-like maps that are non-uniformly hyperbolic in a strong…

Dynamical Systems · Mathematics 2019-03-27 Daniel Coronel , Juan Rivera-Letelier

The exact conditions on valid pointer states for weak measurements are derived. It is demonstrated that weak measurements can be performed with any pointer state with vanishing probability current density. This condition is found both for…

Quantum Physics · Physics 2009-11-10 Lars M. Johansen

In this article, in addition to the characterization of geometrical state spaces for the passive states, an operational approach has been introduced to distinguish them on their charging capabilities of a quantum battery. Unlike the thermal…

Quantum Physics · Physics 2020-08-19 Mir Alimuddin , Tamal Guha , Preeti Parashar

The dynamical convergence of a system to the thermal distribution, or Gibbs state, is a standard assumption across all of the physical sciences. The Gibbs state is determined just by temperature and the system's energies alone. But at…

Quantum Physics · Physics 2022-06-27 A. S. Trushechkin , M. Merkli , J. D. Cresser , J. Anders

We introduce a tensor network method for approximating thermal equilibrium states of quantum many-body systems at low temperatures. Whereas the usual approach starts from infinite temperature and evolves the state in imaginary time (toward…

Quantum Physics · Physics 2025-10-23 Denise Cocchiarella , Mari Carmen Bañuls

The preparation of thermal states of matter is a crucial task in quantum simulation. In this work, we prove that a recently introduced, efficiently implementable dissipative evolution thermalizes to the Gibbs state in time scaling…

Quantum Physics · Physics 2026-04-20 Cambyse Rouzé , Daniel Stilck França , Álvaro M. Alhambra

Efficient simulation of a quantum system generally relies on structural properties of the quantum state. Motivated by the recent results by Bakshi et al. on the sudden death of entanglement in high-temperature Gibbs states of quantum spin…

Quantum Physics · Physics 2026-01-21 Akshar Ramkumar , Yiyi Cai , Yu Tong , Jiaqing Jiang

Quantum thermodynamics can be naturally phrased as a theory of quantum state transformation and energy exchange for small-scale quantum systems undergoing thermodynamical processes, thereby making the resource theoretical approach very well…

Quantum Physics · Physics 2023-07-19 Uttam Singh , Jarosław K. Korbicz , Nicolas J. Cerf

It is now widely accepted that the concept of negative absolute temperature is real one and not just theoretical curiosity. In this brief report, by combining the formalism used in the statistical mechanics and thermodynamics, we have…

Statistical Mechanics · Physics 2024-07-26 Anuradha Gupta , Deepak Jain

A consequence of the Second Law of thermodynamics is that no thermodynamic system with a single heat source at constant temperature can convert heat into mechanical work in a recurrent manner. First we note that this is equivalent to…

Optimization and Control · Mathematics 2020-06-30 Arjan van der Schaft , Dimitri Jeltsema

We show that one can construct a quantum absorption refrigerator that provides refrigeration only in the transient regime, by using three interacting qubits, each of which is also interacting with local heat-bath. The machine either does…

Quantum Physics · Physics 2019-03-15 Sreetama Das , Avijit Misra , Amit Kumar Pal , Aditi Sen De , Ujjwal Sen

Do negative absolute temperatures matter physics and specifically Statistical Physics? We provide evidence that we can certainly answer positively to this vexata quaestio. The great majority of models investigated by statistical mechanics…

Statistical Mechanics · Physics 2021-07-07 Marco Baldovin , Stefano Iubini , Roberto Livi , Angelo Vulpiani