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The recursion method, which solves coupled Heisenberg equations in a Lanczos operator basis, has recently emerged as a powerful nonperturbative tool for computing dynamical correlation functions in strongly correlated two- and…

Strongly Correlated Electrons · Physics 2026-04-29 Ilya Shirokov , Viacheslav Khrushchev , Filipp Uskov , Ivan Dudinets , Igor Ermakov , Oleg Lychkovskiy

We conclusively show that the entanglement- and the mutual information-based measures of quantum non-Markovianity are inequivalent. To this aim, we first analytically solve the optimization problem in the definition of the…

Quantum Physics · Physics 2016-09-07 Alaor Cervati Neto , Göktuğ Karpat , Felipe Fernandes Fanchini

We investigate quantum thermal state preparation algorithms based on system-bath interactions and uncover a surprising phenomenon in the weak-coupling regime. We rigorously prove that, if the system-bath interaction is engineered so that…

Quantum Physics · Physics 2026-05-18 Hongrui Chen , Zhiyan Ding , Ruizhe Zhang

We study some desirable properties of recently introduced measures of quantum correlations based on the amount of non-commutativity quantified by the Hilbert-Schmidt norm (Sci Rep 6:25241, 2016, and Quantum Inf. Process. 16:226, 2017).…

Quantum Physics · Physics 2019-02-27 D. G. Bussandri , A. P. Majtey , A. Valdés-Hernández

A quantum two-state system, weakly coupled to a heat bath, is traditionally studied in the Born-Markov regime under the secular approximation with completely positive linear master equations. Despite its success, this microscopic approach…

Quantum Physics · Physics 2016-06-08 Jérôme Flakowski , Maksym Osmanov , David Taj , Hans Christian Öttinger

The fluctuation-dissipation theorem (FDT) is a fundamental result in statistical mechanics. It stipulates that, if perturbed out of equilibrium, a system responds at a rate proportional to a thermal-equilibrium property. Applications range…

Quantum Physics · Physics 2026-04-27 Jae Dong Noh , Aleksander Lasek , Jade LeSchack , Nicole Yunger Halpern

We consider weakly-coupled QFT in AdS at finite temperature. We compute the holographic thermal two-point function of scalar operators in the boundary theory. We present analytic expressions for leading corrections due to local quartic…

High Energy Physics - Theory · Physics 2021-06-30 Luis F. Alday , Murat Kologlu , Alexander Zhiboedov

Using detailed balance and scaling properties of integrals that appear in the Coulomb gas reformulation of quantum impurity problems, we establish exact relations between the nonequilibrium quantum decay rates of the boundary sine-Gordon…

Statistical Mechanics · Physics 2016-08-31 Holger Baur , Andrea Fubini , Ulrich Weiss

Correlated quantum many-particle systems out of equilibrium are of high interest in many fields, including correlated solids, ultracold atoms or dense plasmas. Accurate theoretical description of these systems is challenging both,…

Strongly Correlated Electrons · Physics 2026-04-02 Erik Schroedter , Michael Bonitz

We investigate critical quantum metrology,that is the estimation of parameters in many-body systems close to a quantum critical point, through the lens of Bayesian inference theory. We first derive a no-go result stating that any…

Quantum Physics · Physics 2023-10-31 Raffaele Salvia , Mohammad Mehboudi , Martí Perarnau-Llobet

The quantum measurement problem considered for the model of measuring system (MS) consist of measured state S (particle), detector D and information processing device (observer) $O$ interacting with S,D. For 'external' observer $O'$ MS…

Quantum Physics · Physics 2007-05-23 Mayburov. S

We give rigorous analytical results on the temporal behavior of two-point correlation functions --also known as dynamical response functions or Green's functions-- in closed many-body quantum systems. We show that in a large class of…

Quantum Physics · Physics 2020-03-20 Álvaro M. Alhambra , Jonathon Riddell , Luis Pedro García-Pintos

We consider an interaction quench in the critical spin-1/2 Heisenberg XXZ chain. We numerically compute the time evolution of the two-point correlation functions of spin operators in the thermodynamic limit and compare the results to…

Statistical Mechanics · Physics 2015-09-23 Mario Collura , Pasquale Calabrese , Fabian H. L. Essler

In a recent study (Ref. [1]), quantum annealing was reported to exhibit a scaling advantage for approximately solving Quadratic Unconstrained Binary Optimization (QUBO). However, this claim critically depends on the choice of classical…

Quantum Physics · Physics 2025-05-29 J. Pawlowski , P. Tarasiuk , J. Tuziemski , L. Pawela , B. Gardas

We investigate the dynamics of a two-qubit open quantum system, in particular the two-qubit spin-boson model in the strong coupling regime, coupled to two thermal bosonic baths under non-Markovian and non-equilibrium conditions. Two…

Quantum Physics · Physics 2026-01-22 Hasan Mehdi Rizvi , Devvrat Tiwari , Subhashish Banerjee

Quantum effects like entanglement and coherent amplification can be used to drastically enhance the accuracy of quantum parameter estimation beyond classical limits. However, challenges such as decoherence and time-dependent errors hinder…

Quantum Physics · Physics 2025-02-18 Yulong Dong , Jonathan A. Gross , Murphy Yuezhen Niu

Quantum correlation provides a promising measure beyond entanglement. Here, we propose a necessary and sufficient condition for nonzero quantum correlation in continuous variable systems, which is simple and easy to perform in terms of a…

Quantum Physics · Physics 2015-11-12 Chengjie Zhang , Sixia Yu , Qing Chen , Haidong Yuan , C. H. Lai , C. H. Oh

We investigate quantum phase transitions in the transverse field Ising chain with algebraically decaying long-range (LR) antiferromagnetic interactions using the variational Monte Carlo method with the restricted Boltzmann machine employed…

Statistical Mechanics · Physics 2024-06-14 Jicheol Kim , Dongkyu Kim , Dong-Hee Kim

This article considers some control problems for closed and open two-level quantum systems. The closed system's dynamics is governed by the Schr\"odinger equation with coherent control. The open system's dynamics is governed by the…

Quantum Physics · Physics 2023-12-01 Oleg V. Morzhin , Alexander N. Pechen

We derived an asymptotic bound the accuracy of the estimation when we use the quantum correlation in the measuring apparatus. It is also proved that this bound can be achieved in any model in the quantum two-level system. Moreover, we show…

Quantum Physics · Physics 2007-05-23 Masahito Hayashi , Keiji Matsumoto