Noncommutative Brownian motion

Santos, Willien O.; Almeida, G. M. A.; Souza, André M. C.

doi:10.1142/s0217751x17501469

Cited by 7 publications

(5 citation statements)

References 59 publications

(77 reference statements)

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“…the factorization theorem is conserved in both commutative and NC space). In the same idea, Santos et al [27] found that, NCty induces a non-vanishing correlation between both coordinates at different times. Very recently in our previous works on decoherence of quantum Brownian particle in NC space, we realized that the NCty effects intervene in the system as a disruption and therefore, increase the rate of decoherence in the system [28].…”

Section: Introductionmentioning

confidence: 90%

Decoherence of a Damped Anisotropic Harmonic Oscillator under Magnetic Field Effects in a Two-Dimensional Noncommutative Phase-Space

Tcoffo¹,

Deuto²,

Issofa³

et al. 2020

JAMP

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Section: Introductionmentioning

confidence: 90%

Decoherence of a Damped Anisotropic Harmonic Oscillator under Magnetic Field Effects in a Two-Dimensional Noncommutative Phase-Space

Tcoffo¹,

Deuto²,

Issofa³

et al. 2020

JAMP

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“…Due to the extensive domain of quantum thermodynamics [50][51][52], an interesting fundamental question is how noncommutativity could modify thermodynamics protocols in quantum scales. Motivated by the same issue, noncommutativity has been addressed in some models of quantum heat machines [53][54][55] as well as in dissipative dynamics of Brownian particles [56,57] and Gaussian states [58]. In this work we address the question of how noncommutativity in phase-space could impact the heat flow between two interacting systems with different temperatures.…”

Section: Introductionmentioning

confidence: 99%

Heat flow and noncommutative quantum mechanics in phase-space

Santos

2020

Journal of Mathematical Physics

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The complete understanding of thermodynamic processes in quantum scales is paramount to develop theoretical models encompassing a broad class of phenomena as well as to design new technological devices in which quantum aspects can be useful in areas such as quantum information and quantum computation. Among several quantum effects, the phase-space noncommutativity, which arises due to a deformed Heisenberg–Weyl algebra, is of fundamental relevance in quantum systems where quantum signatures and high energy physics play important roles. In low energy physics, however, it may be relevant to address how a quantum deformed algebra could influence some general thermodynamic protocols, employing the well-known noncommutative quantum mechanics in phase-space. In this work, we investigate the heat flow of two interacting quantum systems in the perspective of noncommutativity phase-space effects and show that by controlling the new constants introduced in the quantum theory, the heat flow from the hot to the cold system may be enhanced, thus decreasing the time required to reach thermal equilibrium. We also give a brief discussion on the robustness of the second law of thermodynamics in the context of noncommutative quantum mechanics.

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“…For instance, it was shown that the topological order (mainly characterized by the quantized Hall conductance) of two-dimensional TI are generally degraded by the interaction with a bosonic thermal bath [24,25,26], though smarter characterizations of this new symmetry have recently indicated that the topological features can be resilient to moderate temperature effects [27]. Closely related works have also searched for observables signatures of spatial noncommutative effects in the conventional Brownian motion [21,28,29].…”

Section: Introductionmentioning

confidence: 99%

Statistical physics of flux-carrying Brownian particles

Valido

2019

Preprint

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Chern-Simons gauge field theory has provided a natural framework to gain deep insight about many novel phenomena in two-dimensional condensed matter. We investigate the nonequilibrium thermodynamics properties of a (two-dimensional) dissipative harmonic particle when the Abelian topological gauge action and the (linear) Brownian motion dynamics are treated on an equal footing. We find out that the particle exhibits remarkable magneticlike features in the quantum domain that are beyond the celebrated Landau diamagnetism: this could be viewed as the non-relativistic Brownian counterpart of the composite excitation of a charge and magneticlike flux. Interestingly, it is shown that the properties of such flux-carrying Brownian particle are in good agreement with the classical statistical mechanics at sufficient high temperatures, as well as are widely consistent with the Third Law of thermodynamics in the studied dissipative scenarios. Our findings also suggest that its ground state may be far from trivial, i.e. it fakes a seemingly degenerate state.

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Noncommutative Brownian motion

Cited by 7 publications

References 59 publications

Decoherence of a Damped Anisotropic Harmonic Oscillator under Magnetic Field Effects in a Two-Dimensional Noncommutative Phase-Space

Decoherence of a Damped Anisotropic Harmonic Oscillator under Magnetic Field Effects in a Two-Dimensional Noncommutative Phase-Space

Heat flow and noncommutative quantum mechanics in phase-space

Statistical physics of flux-carrying Brownian particles

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