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Temperature is a deceptively simple concept that still raises deep questions at the forefront of quantum physics research. The observation of thermalisation in completely isolated quantum systems, such as cold-atom quantum simulators,…

Quantum Physics · Physics 2022-03-09 Mark T. Mitchison , Archak Purkayastha , Marlon Brenes , Alessandro Silva , John Goold

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…

We discuss the physics of the Rabi-Hubbard model describing large arrays of coupled cavities interacting with two level atoms via a Rabi non-linearity. We show that the inclusion of counter-rotating terms in the light-matter interaction,…

Other Condensed Matter · Physics 2013-11-13 M. Schiró , M. Bordyuh , B. Öztop , H. E. Türeci

Quantum systems can be used as probes in the context of metrology for enhanced parameter estimation. In particular, the delicacy of critical systems to perturbations can make them ideal sensors. Arguably the simplest realistic probe system…

Quantum Physics · Physics 2024-07-04 George Mihailescu , Abolfazl Bayat , Steve Campbell , Andrew K. Mitchell

The two-mode quantum Rabi model with bilinear coupling is studied using extended squeezed states. We derive $G$-functions for each Bargmann index $q$% . They share a common structure with the $G$-function of the one-photon and two-photon…

Quantum Physics · Physics 2015-11-30 Liwei Duan , Shu He , D. Braak , Qing-Hu Chen

We investigate first- and second-order quantum phase transitions of the anisotropic quantum Rabi model, in which the rotating- and counter-rotating terms are allowed to have different coupling strength. The model interpolates between two…

Quantum Physics · Physics 2017-12-06 Maoxin Liu , Stefano Chesi , Zu-Jian Ying , Xiaosong Chen , Hong-Gang Luo , Hai-Qing Lin

Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system's quantum critical point. We show that the system's temperature is significantly suppressed due to both the entropy…

Statistical Mechanics · Physics 2009-08-27 Shi-Jian Gu

From sand piles to electrons in metals, one of the greatest challenges in modern physics is to understand the behavior of an ensemble of strongly interacting particles. A class of quantum many-body systems such as neutron matter and cold…

Quantum Gases · Physics 2010-06-01 Sylvain Nascimbène , Nir Navon , Kaijun Jiang , Frédéric Chevy , Christophe Salomon

Quantum metrology studies the ultimate limit of precision in estimating a physical quantity if quantum strategies are exploited. Here we investigate the evolution of a two-level atom as a detector which interacts with a massless scalar…

General Relativity and Quantum Cosmology · Physics 2015-01-28 Zehua Tian , Jieci Wang , Heng Fan , Jiliang Jing

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 study the joint estimation of multiple Rabi frequencies in a multilevel system. By analytically identifying the optimal probe state and the optimal measurement, we obtain the highest precision limit for the joint estimation of multiple…

Quantum Physics · Physics 2019-03-28 Hongzhen Chen , Haidong Yuan

The goal of this chapter is to investigate the effects of relaxation and dephasing on the quantum Rabi model in the ultrastrong coupling regime, and to provide explicit formulas to implement and numerically solve the resulting nonunitary…

Quantum Physics · Physics 2026-04-13 Alexandre P. Costa , Hebert S. Rego de Oliveira , Alexandre Dodonov

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 study the sensitivity of thermometric probes that are composed of $N$ spins coupled to a sample prepared at temperature $T$. Our analysis extends beyond the weak-coupling limit into the strong sample-probe coupling regime. In particular,…

Quantum Physics · Physics 2023-10-05 Marlon Brenes , Dvira Segal

We formulate a quantum mechanical system consisting of a single discrete state coupled to an infinite ladder of equally-spaced states, the coupling between the two being given by a Lorentzian profile. Various limits of this system…

Quantum Physics · Physics 2026-01-13 Enes Kutay İşgörür , Osman Cevheroğlu , Arkadaş Özakın

A vast collection of light-matter interactions are described by the single-frequency Rabi model. However, the physical world is polychromatic, and until now there is no general method to find analytic solutions to the multi-frequency Rabi…

Quantum Physics · Physics 2018-07-24 Ben Yuen

In this report, we have studied exceptional spectra of the two-qubit quantum Rabi model in two situations. Firstly, an exceptional spectra is achieved in resonant condition, in which the frequencies of two qubit and photon field satisfy…

Quantum Physics · Physics 2016-10-11 Zhanyuan Yan , Bingbing Xu , Zehui Yan

What is the minimum time required to take a temperature? In this paper, we solve this question for a large class of processes where temperature is inferred by measuring a probe (the thermometer) weakly coupled to the sample of interest, so…

Quantum Physics · Physics 2022-12-07 Pavel Sekatski , Martí Perarnau-Llobet

In this work, we explore the PT-symmetric quantum Rabi model, which describes a PT-symmetric qubit coupled to a quantized light field. By employing the adiabatic approximation (AA), we are able to solve this model analytically in the…

Quantum Physics · Physics 2023-11-17 Xilin Lu , Hui Li , Jia-Kai Shi , Li-Bao Fan , Vladimir Mangazeev , Zi-Min Li , Murray T. Batchelor

Two identical finite quantum systems prepared initially at different temperatures, isolated from the environment, and subsequently brought into contact are demonstrated to relax towards Gibbs-like quasi-equilibrium states with a common…

Statistical Mechanics · Physics 2011-01-10 Alexey V. Ponomarev , Sergey Denisov , Peter Hänggi
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