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Quantum superposition of energy eigenstates can appear autonomously in a single quantum two-level system coupled to a low-temperature thermal bath, if such coupling has a proper composite nature. We propose here a principally different and…

Quantum Physics · Physics 2023-12-18 Michal Kolář , Radim Filip

Temperature determines the relative probability of observing a physical system in an energy state when that system is energetically in equilibrium with its environment. In this paper, we present a theory for engineering the temperature of a…

Quantum Physics · Physics 2016-11-09 Alireza Shabani , Hartmut Neven

We study the problem of estimating the temperature of Gaussian systems with feasible measurements, namely Gaussian and photo-detection-like measurements. For Gaussian measurements, we develop a general method to identify the optimal…

Quantum Physics · Physics 2022-06-28 Marina F. B. Cenni , Ludovico Lami , Antonio Acin , Mohammad Mehboudi

Quantum Gibbs state sampling algorithms generally suffer from either scaling exponentially with system size or requiring specific knowledge of spectral properties \textit{a priori}. Also, these algorithms require a large overhead of bath or…

Quantum Physics · Physics 2020-09-02 Jeffrey Cohn , Khadijeh Sona Najafi , Forest Yang , Barbara Jones , James K. Freericks

We revisit quantum state preparation of an oscillator by continuous linear position measurement. Quite general analytical expressions are derived for the conditioned state of the oscillator. Remarkably, we predict that quantum squeezing is…

Quantum Physics · Physics 2020-07-29 Chao Meng , George A. Brawley , James S. Bennett , Michael R. Vanner , Warwick P. Bowen

A physically meaningful local concept of temperature is introduced in quantum field theory on curved spacetime and applied to the example of a massless field on de Sitter space. It turns out in this model that the equilibrium (Gibbs) states…

General Relativity and Quantum Cosmology · Physics 2010-11-02 Detlev Buchholz , Jan Schlemmer

We summarize recent results on positive temperature equilibrium states of large bosonic systems. The emphasis will be on the connection between bosonic grand-canonical thermal states and the (semi-) classical Gibbs measures on one-body…

Mathematical Physics · Physics 2016-02-17 Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

In this paper, we study a class of multilinear Gibbs measures with Hamiltonian given by a generalized $\mathrm{U}$-statistic and with a general base measure. Expressing the asymptotic free energy as an optimization problem over a space of…

Probability · Mathematics 2026-03-31 Sohom Bhattacharya , Nabarun Deb , Sumit Mukherjee

In nature, everything occurs at finite temperature and quantum phase transitions (QPTs) cannot be an exception. Nevertheless, they are still mainly discussed and formulated at zero temperature. We show that the condensation QPTs recently…

Quantum Physics · Physics 2023-08-31 Massimo Ostilli , Carlo Presilla

A new approach to the problem of measurement in quantum mechanics is proposed. In this approach, the process of measurement is described in the Heisenberg picture and divided into two stages. The first stage is to transduce the measured…

Quantum Physics · Physics 2007-05-23 Masanao Ozawa

Despite its enormous empirical success, the formalism of quantum theory still raises fundamental questions: why is nature described in terms of complex Hilbert spaces, and what modifications of it could we reasonably expect to find in some…

Quantum Physics · Physics 2017-04-27 Marius Krumm , Howard Barnum , Jonathan Barrett , Markus P. Mueller

Preparation of quantum thermal states of many-body systems is a key computational challenge for quantum processors, with applications in physics, chemistry, and classical optimization. We provide a simple and efficient algorithm for thermal…

Quantum Physics · Physics 2026-03-18 Jerome Lloyd , Dmitry A. Abanin

This article sets up a new formalism to investigate stochastic thermodynamics of out-of-equilibrium quantum systems, where stochasticity primarily comes from quantum measurement. In the absence of any bath, we define a purely quantum…

Quantum Physics · Physics 2016-10-17 Cyril Elouard , David Herrera Marti , Maxime Clusel , Alexia Auffèves

The equipartition theorem states that inverse temperature equals the log-derivative of the density of states. This relation can be generalized by introducing a proportionality factor involving an increasing positive function phi(x). It is…

Statistical Mechanics · Physics 2009-11-10 Jan Naudts

Irreversible thermodynamics of simple fluids have been connected recently to the theory of dynamical systems and some interesting assumptions have been made about the nature of the associated invariant measures. We show that the tests of…

chao-dyn · Physics 2008-02-03 Jean-Pierre Eckmann , Itamar Procaccia

By combining different ideas, a general and efficient protocol to deal with discontinuous phase transitions at low temperatures is proposed. For small $T$'s, it is possible to derive a generic analytic expression for appropriate order…

Statistical Mechanics · Physics 2015-06-03 C. E. Fiore , M. G. E. da Luz

Observational entropy provides a general notion of quantum entropy that appropriately interpolates between Boltzmann's and Gibbs' entropies, and has recently been argued to provide a useful measure of out-of-equilibrium thermodynamic…

Quantum Physics · Physics 2023-05-09 Francesco Buscemi , Joseph Schindler , Dominik Šafránek

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

Generalized measurements may allow the control of its back-action on the quantum system by interpolating from a very weak to strong projective action. Such a measurement can fuel a quantum heat engine or extract work depending on the…

Quantum Physics · Physics 2022-12-05 V. F. Lisboa , P. R. Dieguez , J. R. Guimarães , J. F. G. Santos , R. M. Serra

Gibbs states are a natural model of quantum matter at thermal equilibrium. We investigate the role of external fields in shaping the entanglement structure and computational complexity of high-temperature Gibbs states. External fields can…

Quantum Physics · Physics 2026-04-10 Ainesh Bakshi , Xinyu Tan