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We upper- and lower-bound the optimal precision with which one can estimate an unknown Hamiltonian parameter via measurements of Gibbs thermal states with a known temperature. The bounds depend on the uncertainty in the Hamiltonian term…

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

We consider atomistic geometry relaxation in the context of linear tight binding models for point defects. A limiting model as Fermi-temperature is sent to zero is formulated, and an exponential rate of convergence for the nuclei…

Mathematical Physics · Physics 2020-04-14 Christoph Ortner , Jack Thomas

The locality of thermal quantum states has emerged as a key input for applications to thermalization, response theory, and efficient simulability. Locality is either captured by the decay of correlations or by local indistinguishability,…

Mathematical Physics · Physics 2026-01-22 Arka Adhikari , Joscha Henheik , Marius Lemm , Tom Wessel

I consider the non-equilibrium DC transport of electrons through a quantum system with a thermoelectric response. This system may be any nanostructure or molecule modeled by the nonlinear scattering theory which includes Hartree-like…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 Robert S. Whitney

We address estimation of temperature for finite quantum systems at thermal equilibrium and show that the Landau bound to precision $\delta T^2 \propto T^2$, originally derived for a classical {\em not too small} system being a portion of a…

Quantum Physics · Physics 2016-01-20 Matteo G. A. Paris

The extent to which a temperature can be appropriately assigned to a small quantum system, as an internal property but not as a property of any large environment, is still an open problem. In this paper, a method is proposed for solving…

Statistical Mechanics · Physics 2017-09-13 Jiaozi Wang , Wen-ge Wang

We show that the performance of critical quantum metrology protocols, counter-intuitively, can be enhanced by finite temperature. We consider a toy-model squeezing Hamiltonian, the Lipkin-Meshkov-Glick model and the paradigmatic Ising…

Quantum Physics · Physics 2024-02-23 Laurin Ostermann , Karol Gietka

We identify a three-dimensional system that exhibits long-range entanglement at sufficiently small but nonzero temperature--it therefore constitutes a quantum topological order at finite temperature. The model of interest is known as the…

Strongly Correlated Electrons · Physics 2025-07-25 Shu-Tong Zhou , Meng Cheng , Tibor Rakovszky , Curt von Keyserlingk , Tyler D. Ellison

Quantum simulation is a highly ambitious program in cold atom research currently being pursued in laboratories worldwide. The goal is to use cold atoms in optical lattice to simulate models for unsolved strongly correlated systems, so as to…

Quantum Gases · Physics 2015-05-14 Qi Zhou , Tin-Lun Ho

We consider a question motivated by the third law of thermodynamics: can there be a local temperature arbitrarily close to absolute zero in a nonequilibrium quantum system? We consider nanoscale quantum conductors with the source reservoir…

Mesoscale and Nanoscale Physics · Physics 2016-03-01 Abhay Shastry , Charles A. Stafford

Cooling quantum systems is arguably one of the most important thermodynamic tasks connected to modern quantum technologies and an interesting question from a foundational perspective. It is thus of no surprise that many different…

We determine quantum precision limits for estimation of damping constants and temperature of lossy bosonic channels. A direct application would be the use of light for estimation of the absorption and the temperature of a transparent slab.…

Quantum Physics · Physics 2020-09-16 Jiaxuan Wang , Luiz Davidovich , Girish Saran Agarwal

We investigate the sensitivity with which the temperature and the chemical potential characterizing quantum gases can be measured. We calculate the corresponding quantum Fisher information matrices for both fermionic and bosonic gases. For…

Quantum Physics · Physics 2016-02-01 Ugo Marzolino , Daniel Braun

We address the dephasing dynamics of a qubit as an effective process to estimate the temperature of its environment. Our scheme is inherently quantum, since it exploits the sensitivity of the qubit to decoherence, and does not require…

Quantum thermodynamics addresses the emergence of thermodynamical laws from quantum mechanics. The link is based on the intimate connection of quantum thermodynamics with the theory of open quantum systems. Quantum mechanics inserts…

Quantum Physics · Physics 2015-06-24 Ronnie Kosloff

We show that a local measurement of temperature and voltage for a quantum system in steady state, arbitrarily far from equilibrium, with arbitrary interactions within the system, is unique when it exists. This is interpreted as a…

Mesoscale and Nanoscale Physics · Physics 2016-10-26 Abhay Shastry , Charles A. Stafford

It has been suggested by Timmermans [Phys. Rev. Lett. {\bf 87}, 240403 (2001)] that loss of fermions in a degenerate system causes strong heating. We address the fundamental limit imposed by this loss on the temperature that may be obtained…

Soft Condensed Matter · Physics 2009-11-10 L. D. Carr , T. Bourdel , Y. Castin

Ultracold fermionic atoms in optical lattices offer pristine realizations of Hubbard models, which are fundamental to modern condensed matter physics. Despite significant advancements, the accessible temperatures in these optical lattice…

Quantum thermometry aims to measure temperature in nanoscale quantum systems, paralleling classical thermometry. However, temperature is not a quantum observable, and most theoretical studies have therefore concentrated on analyzing…

Quantum Physics · Physics 2026-04-10 Yan Xie , Junjie Liu
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