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We describe the dynamics of a detector modeled by a harmonic oscillator coupled with an otherwise free quantum field in a curved spacetime in terms of covariant equations of motion leading to local observables. To achieve this, we derive…

General Relativity and Quantum Cosmology · Physics 2025-02-04 Alejandro Blanco Sánchez , Luis J. Garay , Jose de Ramón

We propose an effective Hamiltonian approach to investigate decoherence of a quantum system in a non-Markovian reservoir, naturally imposing the complete positivity on the reduced dynamics of the system. The formalism is based on the notion…

Quantum Physics · Physics 2007-05-23 Jinhyoung Lee , Inbo Kim , Helen McAneney , M. S. Kim , Doyeol Ahn

We establish the potential of continuous-variable Gaussian states of linear dynamical systems for machine learning tasks. Specifically, we consider reservoir computing, an efficient framework for online time series processing. As a…

We analyse the properties of a strongly-damped quantum harmonic oscillator by means of an exact diagonalisation of the full Hamiltonian, including both the oscillator and the reservoir degrees of freedom to which it is coupled. Many of the…

Quantum Physics · Physics 2015-08-12 Stephen M. Barnett , James D. Cresser , Sarah Croke

The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of…

Quantum Physics · Physics 2015-06-05 T. G. Philbin

We analyze the performance of quantum parameter estimation in the presence of the most general Gaussian dissipative reservoir. We derive lower bounds on the precision of phase estimation and a closely related problem of frequency…

Quantum Physics · Physics 2017-01-17 Marcin Jarzyna , Marcin Zwierz

The development of fast and efficient quantum batteries is crucial for the prospects of quantum technologies. We show that both requirements are accomplished in the paradigmatic model of a harmonic oscillator strongly coupled to a highly…

Quantum Physics · Physics 2025-04-01 F. Cavaliere , G. Gemme , G. Benenti , D. Ferraro , M. Sassetti

Quantum reservoir computing has emerged as a promising paradigm for harnessing quantum systems to process temporal data efficiently by bypassing the costly training of gradient-based learning methods. Here, we demonstrate the capability of…

Quantum Physics · Physics 2026-03-20 Qingyu Li , Chiranjib Mukhopadhyay , Ludovico Minati , Abolfazl Bayat

This paper considers the problem of constructing a direct coupling quantum observer for a quantum harmonic oscillator system. The proposed observer is shown to be able to estimate one but not both of the plant variables and produces a…

Quantum Physics · Physics 2016-03-07 Ian R. Petersen , Elanor H. Huntington

Isolation of a system from its environment is often desirable, from precision measurements to control of individual quantum systems; however, dissipation can also be a useful resource. Remarkably, engineered dissipation enables the…

Quantum Physics · Physics 2017-08-07 L. D. Tóth , N. R. Bernier , A. Nunnenkamp , A. K. Feofanov , T. J. Kippenberg

The rapidly developing quantum technologies and thermodynamics have put forward a requirement to precisely control and measure the temperature of microscopic matter at the quantum level. Many quantum thermometry schemes have been proposed.…

Quantum Physics · Physics 2022-04-01 Ning Zhang , Chong Chen , Si-Yuan Bai , Wei Wu , Jun-Hong An

We analyze the properties of a quantum system composed of two coherently coupled quantum oscillators and show through simulations that it fulfills the two properties required for reservoir computing: non-linearity and fading memory. We…

Quantum Physics · Physics 2022-05-02 Julien Dudas , Julie Grollier , Danijela Marković

The non-Markovianity is a recently proposed characterization of the non-Markovian behavior in an open quantum system, based on which we first present a practical idea for directly measuring the non-Markovian character of a single qubit…

Quantum Physics · Physics 2010-04-27 Z. Y. Xu , W. L. Yang , M. Feng

We use the system-plus-reservoir approach to study the quantum dynamics of a bipartite continuous variable system (two generic particles). We present an extension of the traditional model of a bath of oscillators which is capable of…

Quantum Physics · Physics 2015-05-13 O. S. Duarte , A. O. Caldeira

We introduce a method of characterization of non-Markovianity using coherence of a system interacting with the environment. We show that under the allowed incoherent operations, monotonicity of a valid coherence measure is affected due to…

Quantum Physics · Physics 2016-11-28 Titas Chanda , Samyadeb Bhattacharya

Many physical and chemical processes in the condensed phase environment exhibit non-Markovian quantum dynamics. As such simulations are challenging on classical computers, we developed a variational quantum algorithm that is capable of…

Quantum Physics · Physics 2024-03-11 Peter L. Walters , Joachim Tsakanikas , Fei Wang

Quantum dissipation is studied for a discrete system that linearly interacts with a reservoir of harmonic oscillators at thermal equilibrium. Initial correlations between system and reservoir are assumed to be absent. The dissipative…

Quantum Physics · Physics 2018-07-23 A. J. van Wonderen , L. G. Suttorp

We consider a quantum system linearly coupled to a reservoir of harmonic oscillators. For finite coupling strengths, the stationary distribution of the damped system is not of the Gibbs form, in contrast to standard thermodynamics. With the…

Statistical Mechanics · Physics 2013-05-29 Stefanie Hilt , Benedikt Thomas , Eric Lutz

We address quantum systems isospectral to the harmonic oscillator, as those found within the framework of supersymmetric quantum mechanics, as potential resources for continuous variable quantum information. These deformed oscillator…

Quantum Physics · Physics 2025-04-04 Abdelatif Chabane , Sidali Mohammdi , Abdelhakim Gharbi , Matteo G. A. Paris

We investigate the non-Markovian characteristics in continuous measurement of a charge qubit by a quantum point contact. The backflow of information from the reservoir to the system in the non-Markovian domain gives rise to strikingly…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 JunYan Luo , HuJun Jiao , Xiao-Li Lang , BiTao Xiong , Xiao-Ling He