Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system

Viotti, Ludmila; Lombardo, Fernando C.; Villar, Paula I.

doi:10.1103/physreva.101.032337

Cited by 4 publications

(4 citation statements)

References 62 publications

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“…

P (u t^{'})

is an algebraic function given by

\begin{matrix} true \\ right boldP false(u t^{'} false) & = & left 2 n_{x}^{2} \frac{2 - u^{2} t^{' 2}}{{(() 4 + u^{2} t^{' 2})}^{5 / 2}} + \frac{{normaln}_{y}^{2}}{{(() 4 + u^{2} t^{' 2})}^{3 / 2}} + n_{z}^{2} \frac{8 - u^{2} t^{' 2}}{{(() 4 + u^{2} t^{' 2})}^{5 / 2}} \end{matrix}

(details can be found in ref. [31]).…”

Section: Bodies In Relative Motion: Quantum Frictionmentioning

confidence: 99%

“…Due to the experimental challenges involved in the implementation of precision measurements for the observation of such a small force acting on objects near a surface, there has been lately a set of works devoted to finding favorable conditions for its detection. [ 25–31 ] In refs. [32, 33], authors have investigated the van der Waals friction between graphene and an amorphous SiO 2 substrate.…”

Section: Introductionmentioning

confidence: 99%

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Detectable Signature of Quantum Friction on a Sliding Particle in Vacuum

et al. 2021

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Spatially separated bodies in a relative motion through vacuum experience a tiny friction force known as quantum friction (QF). This force has so far eluded experimental detection due to its small magnitude and short range. Quantitative details revealing traces of the QF in the degradation of the quantum coherence of a particle are presented. Environmentally induced decoherence for a particle sliding over a dielectric sheet can be decomposed into contributions of different signatures: one solely induced by the electromagnetic vacuum in the presence of the dielectric and another induced by motion. As the geometric phase (GP) has been proved to be a fruitful venue of investigation to infer features of the quantum systems, herein it is proposed to use the accumulated GP acquired by a particle as a QF sensor. Furthermore, an innovative experiment designed to track traces of QF by measuring the velocity dependence of corrections to the GP and coherence is proposed. The experimentally viable scheme presented can spark renewed optimism for the detection of non‐contact friction, with the hope that this non‐equilibrium phenomenon can be readily measured soon.

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“…

P (u t^{'})

is an algebraic function given by

\begin{matrix} true \\ right boldP false(u t^{'} false) & = & left 2 n_{x}^{2} \frac{2 - u^{2} t^{' 2}}{{(() 4 + u^{2} t^{' 2})}^{5 / 2}} + \frac{{normaln}_{y}^{2}}{{(() 4 + u^{2} t^{' 2})}^{3 / 2}} + n_{z}^{2} \frac{8 - u^{2} t^{' 2}}{{(() 4 + u^{2} t^{' 2})}^{5 / 2}} \end{matrix}

(details can be found in ref. [31]).…”

Section: Bodies In Relative Motion: Quantum Frictionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Detectable Signature of Quantum Friction on a Sliding Particle in Vacuum

et al. 2021

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“…The loss of the quantum coherence of open systems induced by the environments is usually called decoherence, which is widely used to describe the quantum-classical transition and is regarded as a great obstacle to the design and realization of experimental devices for quantum information processing. Recently, the investigations of the decoherence process of open quantum systems have received more and more considerable attention, which plays a significant role in a series of essential issues in quantum information science, such as quantum computation, quantum measurement, quantum control, and so on [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Dephasing Dynamics in a Non-Equilibrium Fluctuating Environment

Meng

Sun

Wang

et al. 2023

Entropy

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We performed a theoretical study of the dephasing dynamics of a quantum two-state system under the influences of a non-equilibrium fluctuating environment. The effect of the environmental non-equilibrium fluctuations on the quantum system is described by a generalized random telegraph noise (RTN) process, of which the statistical properties are both non-stationary and non-Markovian. Due to the time-homogeneous property in the master equations for the multi-time probability distribution, the decoherence factor induced by the generalized RTN with a modulatable-type memory kernel can be exactly derived by means of a closed fourth-order differential equation with respect to time. In some special limit cases, the decoherence factor recovers to the expression of the previous ones. We analyzed in detail the environmental effect of memory modulation in the dynamical dephasing in four types of dynamics regimes. The results showed that the dynamical dephasing of the quantum system and the conversion between the Markovian and non-Markovian characters in the dephasing dynamics under the influence of the generalized RTN can be effectively modulated via the environmental memory kernel.

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“…The loss of quantum features induced by the environments is considered as a fundamental obstacle to the construction of quantum information processors and the realization of ultrafast quantum computation. The study of decoherence and disentanglement dynamics of open quantum systems can help us further expand the understanding of the environmental effects on the dynamical evolution of the quantum systems and the real origins of the loss of quantum features and quantum-classical transition, which has potential applications in preserving quantum features against the environmental noise and in realizing quantum manipulation and control and quantum measurement [ 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 ].…”

Section: Introductionmentioning

confidence: 99%

Disentanglement Dynamics in Nonequilibrium Environments

Chen

Han

et al. 2022

Entropy

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We theoretically study the non-Markovian disentanglement dynamics of a two-qubit system coupled to nonequilibrium environments with nonstationary and non-Markovian random telegraph noise statistical properties. The reduced density matrix of the two-qubit system can be expressed as the Kraus representation in terms of the tensor products of the single qubit Kraus operators. We derive the relation between the entanglement and nonlocality of the two-qubit system which are both closely associated with the decoherence function. We identify the threshold values of the decoherence function to ensure the existences of the concurrence and nonlocal quantum correlations for an arbitrary evolution time when the two-qubit system is initially prepared in the composite Bell states and the Werner states, respectively. It is shown that the environmental nonequilibrium feature can suppress the disentanglement dynamics and reduce the entanglement revivals in non-Markovian dynamics regime. In addition, the environmental nonequilibrium feature can enhance the nonlocality of the two-qubit system. Moreover, the entanglement sudden death and rebirth phenomena and the transition between quantum and classical nonlocalities closely depend on the parameters of the initial states and the environmental parameters in nonequilibrium environments.

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Boundary-induced effect encoded in the corrections to the geometric phase acquired by a bipartite two-level system

Cited by 4 publications

References 62 publications

Detectable Signature of Quantum Friction on a Sliding Particle in Vacuum

Detectable Signature of Quantum Friction on a Sliding Particle in Vacuum

Dephasing Dynamics in a Non-Equilibrium Fluctuating Environment

Disentanglement Dynamics in Nonequilibrium Environments

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