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Precise thermometry is of wide importance in science and technology in general and in quantum systems in particular. Here, we investigate fundamental precision limits for thermometry on cold quantum systems, taking into account constraints…

Quantum Physics · Physics 2020-10-02 Mathias R. Jørgensen , Patrick P. Potts , Matteo G. A. Paris , Jonatan B. Brask

Controlling and measuring the temperature in different devices and platforms that operate in the quantum regime is, without any doubt, essential for any potential application. In this review, we report the most recent theoretical…

Quantum Physics · Physics 2019-07-04 Mohammad Mehboudi , Anna Sanpera , Luis A. Correa

We discuss the application of techniques of quantum estimation theory and quantum metrology to thermometry. The ultimate limit to the precision at which the temperature of a system at thermal equilibrium can be determined is related to the…

Quantum Physics · Physics 2019-05-01 Antonella De Pasquale , Thomas M. Stace

High-precision low-temperature thermometry is a challenge for experimental quantum physics and quantum sensing. Here we consider a thermometer modelled by a dynamically-controlled multilevel quantum probe in contact with a bath. Dynamical…

Quantum Physics · Physics 2019-12-17 Victor Mukherjee , Analia Zwick , Arnab Ghosh , Xi Chen , Gershon Kurizki

A paradigm shift in quantum thermometry is proposed. To date, thermometry has relied on local estimation, which is useful to reduce statistical fluctuations once the temperature is very well known. In order to estimate temperatures in cases…

Quantum Physics · Physics 2021-11-04 Jesús Rubio , Janet Anders , Luis A. Correa

Thermometry is a fundamental parameter estimation problem which is crucial in the development process of natural sciences. One way to solve this problem is to the extensive used local thermometry theory, which makes use of the classical and…

Quantum Physics · Physics 2023-05-16 Shoukang Chang , Wei Ye , Xuan Rao , Huan Zhang , Liqing Huang , Mengmeng Luo , Yuetao Chen , Qiang Ma , Shaoyan Gao

Feedback cooling plays a critical role in stabilizing quantum systems and achieving low temperatures, where a key question is to determine the fundamental thermodynamic limits on cooling performance. We establish a fundamental bound on…

Quantum Physics · Physics 2025-09-08 Kousuke Kumasaki , Toshihiro Yada , Ken Funo , Takahiro Sagawa

Enhancing the precision of a thermodynamic process inevitably necessitates a thermodynamic cost. This notion was recently formulated as the thermodynamic uncertainty relation, which states that the lower bound on the relative variance of…

Quantum Physics · Physics 2025-11-14 Yoshihiko Hasegawa

A general expression for the temperature of a finite-dimensional quantum system is deduced from thermodynamic arguments. At equilibrium, this magnitude coincides with the standard thermodynamic temperature. Furthermore, it is well-defined…

Quantum Physics · Physics 2020-05-04 Andrés Vallejo , Alejandro Romanelli , Raúl Donángelo

This thesis describes several topics related to finite temperature studies of strongly correlated systems: finite temperature density matrix embedding theory (FT-DMET), finite temperature metal-insulator transition, and quantum algorithms…

Strongly Correlated Electrons · Physics 2023-03-01 Chong Sun

Potential realization of a quantum thermometer operating in the nanokelvin regime, formed by a few-fermionic mixture confined in a one-dimensional harmonic trap, is proposed. Thermal states of the system are studied theoretically from the…

Quantum Gases · Physics 2018-06-22 Marcin Płodzień , Rafał Demkowicz-Dobrzański , Tomasz Sowiński

The quantum limit is a fundamental lower bound on the uncertainty when estimating a parameter in a system dominated by the minimum amount of noise (quantum noise). For the first time, we derive and demonstrate a quantum limit for…

Signal Processing · Electrical Eng. & Systems 2025-05-12 Huwei Wang , Roman Ermakov , Francesco Da Ros , Darko Zibar

Precise thermometry for quantum systems is important to the development of new technology, and understanding the ultimate limits to precision presents a fundamental challenge. It is well known that optimal thermometry requires projective…

Temperature estimation, known as thermometry, is a critical sensing task for physical systems operating in the quantum regime. Indeed, thermal fluctuations can significantly degrade quantum coherence. Therefore, accurately determining the…

The precise measurement of low temperatures is significant for both the fundamental understanding of physical processes and technological applications. In this work, we present a method for low-temperature measurement that improves thermal…

Quantum Physics · Physics 2024-04-23 Asghar Ullah , M. Tahir Naseem , Özgür E. Müstecaplıoğlu

Thermometry is essential for studying many-body physics with ultracold atoms. Accurately measuring low temperatures in these systems, however, remains a significant challenge due to the absence of a universal thermometer. Most widely…

It is "conventional wisdom" that the uncertainty of local temperature measurements on equilibrium systems diverges exponentially fast as their temperature $T$ drops to zero. In contrast, some exactly solvable models showcase a more benign…

Quantum Physics · Physics 2018-07-04 Karen V. Hovhannisyan , Luis A. Correa

Quantum metrology aims to enhance measurement precision beyond the classical limit by leveraging quantum resources. Unlike multi-parameter dynamic quantum metrology, many questions regarding multiparameter quantum metrology at thermal…

Quantum Physics · Physics 2026-05-20 Zhu Cao

The third law of thermodynamics, also known as the Nernst unattainability principle, puts a fundamental bound on how close a system, whether classical or quantum, can be cooled to a temperature near to absolute zero. On the other hand, a…

Quantum Physics · Physics 2022-10-04 Lorenzo Buffoni , Stefano Gherardini , Emmanuel Zambrini Cruzeiro , Yasser Omar

We study the ultimate bounds on the estimation of temperature for an interacting quantum system. We consider two coupled bosonic modes that are assumed to be thermal and using quantum estimation theory establish the role the Hamiltonian…

Quantum Physics · Physics 2017-10-04 Steve Campbell , Mohammad Mehboudi , Gabriele De Chiara , Mauro Paternostro
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