Readout of the spectral density of an environment from the dynamics of an open system

Xu, Shuhang; Shen, H. Z.; Wang, W.

doi:10.1103/physreva.100.032108

Cited by 14 publications

(8 citation statements)

References 51 publications

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“…This is manifested both as an anomalous exponent in the dependence of this quantity upon the number of involved particles, as well as through a non-monotonic behavior of the exponent ruling the power-law dependence of the its Fourier transform in the high-frequency tail. This second indicator seems quite sensitive to the anomalous behavior, and allows to characterize the thermalization stage via the spectral study of the interaction energy, a viewpoint recently discussed, in the context of open quantum systems, in [34]. Further, the analogous behavior of the exponent in our Gaussian model and the simple standard map suggest that chaotic dynamics resulting from nonlinearities in the interaction potential may be involved in the thermalization process for certain parameter regimes.…”

Section: Discussionmentioning

confidence: 73%

Relationship between nonlinearities and thermalization in classical open systems: The role of the interaction range

Onofrio,

Sundaram

2022

Preprint

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We discuss results on the dynamics of thermalization for a model with Gaussian interactions between two classical many-body systems trapped in external harmonic potentials. Previous work showed an approximate, power-law scaling of the interaction energy with the number of particles, with particular focus on the dependence of the anomalous exponent on the interaction strength. Here we explore the role of the interaction range in determining anomalous exponents, showing that it is a more relevant parameter to differentiate distinct regimes of responses of the system. More specifically, on varying the interaction range from its largest values while keeping the interaction strength constant, we observe a crossover from an integrable system, approximating the Caldeira-Leggett interaction term in the long range limit, to an intermediate interaction range in which the system manifests anomalous scaling, and finally to a regime of local interactions in which anomalous scaling disappears. A Fourier analysis of the interaction energy shows that nonlinearities give rise to an effective bath with a broad band of frequencies, even when starting with only two distinct trapping frequencies, yielding efficient thermalization in the intermediate regime of interaction range. We provide qualitative arguments, based on an analogous Fourier analysis of the standard map, supporting the view that anomalous scaling and features of the Fourier spectrum may be used as proxies to identify the role of chaotic dynamics. Our work, that encompasses models developed in different contexts and unifies them in a common framework, may be relevant to the general understanding of the role of nonlinearities in a variety of many-body classical systems, ranging from plasmas to trapped atoms and ions.

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Section: Discussionmentioning

confidence: 73%

Relationship between nonlinearities and thermalization in classical open systems: The role of the interaction range

Onofrio,

Sundaram

2022

Preprint

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“…Under this context, by maximizing the value for the QFI at a given final evolution time, we have shown how the total QFI flow throughout the evolution can be exploited and accommodated by the control field in order to achieve the best precision of estimation at that final evolution time, which may be of experimental interest. This could be certainly useful in recent experiments [20].…”

Section: Final Remarksmentioning

confidence: 90%

“…Since any realistic quantum system interacts and exchanges information with an environment, the main challenge resides in tackling the problem of quantum metrology within the presence of decoherence and non-Markovianity (NM) [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Owing both phenomena are related to the loss and gain of information, respectively, the question of how the dynamics of estimation is affected both by the presence of decoherence and NM is of paramount interest and worthy to study.…”

Section: Introductionmentioning

confidence: 99%

Quantum metrology in a non-Markovian quantum evolution

Mirkin,

Larocca,

Wisniacki

2019

Preprint

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“…Measuring the spectral density thereby becomes an important task, and various schemes have been proposed in two-level systems, where the qubit is used as the noise probe, e.g., pulse sequences [15][16][17], correlations of singleshot measurement [18], waveguide-QED-based measurement [19], spontaneous synchronization [20], open-loop control protocols [21], and dynamical evolution detection [22]. Recently, the non-Markovian nature of the * chengjiong@nbu.edu.cn mechanical heat bath has been revealed experimentally [23], and the reservoir spectral density is reconstructed by monitoring the mechanical motion with high sensitivity.…”

Section: Introductionmentioning

confidence: 99%

Measurement of the mechanical reservoir spectral density in optomechanical system

Zhang,

Liang,

Cheng

et al. 2020

Preprint

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To investigate the dynamical behavior of a quantum system embedded in a memory environment, it is crucial to obtain the knowledge of the reservoir spectral density. However, such knowledge is usually based on a priori assumptions about the environment. In this paper, we put forward a method to obtain key information about the reservoir spectral density of an optomechanical resonator without additional assumptions about the spectral shape. This is achieved by detecting and analysing the optical transmission rate of the emitted light. In the weak optomechanical singlephoton coupling regime, we establish a simple relation between the output light spectrum and the reservoir spectral density. This provide a straightforward and effective way for reconstructing the spectral density profile in single or even multiple decoherence channels.

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Readout of the spectral density of an environment from the dynamics of an open system

Cited by 14 publications

References 51 publications

Relationship between nonlinearities and thermalization in classical open systems: The role of the interaction range

Relationship between nonlinearities and thermalization in classical open systems: The role of the interaction range

Quantum metrology in a non-Markovian quantum evolution

Measurement of the mechanical reservoir spectral density in optomechanical system

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