About a nonadditivity of energy and entropy

Wang, R.; Ou, Congjie; Chen, J. C.; Wang, Q.A.

doi:10.1140/epjb/e2012-20903-y

Cited by 8 publications

(12 citation statements)

References 20 publications

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“…A key ingredient of quantum computation and quantum communication is quantum memory, which may be implemented in many physical systems, such as cold atomic gases 1,2 , nuclear spin systems 3 , semiconductor quantum dots (QD) [4][5][6][7][8] , and so on. Among these systems, the QD-based quantum memory, which uses both electron spin and nuclear spins, exhibits potential advantages: Long storage time, fast encoding and retrieval of the stored quantum state, and ready to scale-up with current semiconductor fabrication techniques 3,4,[9][10][11] .…”

Section: Introductionmentioning

confidence: 99%

High-fidelity quantum memory utilizing inhomogeneous nuclear polarization in a quantum dot

et al. 2014

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We numerically investigate the encoding and retrieval processes for a quantum memory realized in a semiconductor quantum dot, by focusing on the effect of inhomogeneously polarized nuclear spins whose polarization depends on the local hyperfine coupling strength. We find that the performance of the quantum memory is significantly improved by the inhomogeneous nuclear polarization, as compared to the homogeneous one. Moreover, the narrower the nuclear polarization distribution is, the better the performance of the quantum memory is. We ascribe the performance improvement to the full harnessing of the highly polarized and strongly coupled nuclear spins, by carefully studying the entropy change of individual nuclear spins during encoding process. Our results shed new light on the implementation of a quantum memory in a quantum dot.

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Section: Introductionmentioning

confidence: 99%

High-fidelity quantum memory utilizing inhomogeneous nuclear polarization in a quantum dot

et al. 2014

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“…But, since the convergence in that sense is not restrictive enough, it does not guarantee the asymptotic equilibration. We note here that some authors emphasized the non-universal nature of the modification of the energy addition, in the sense it should depend on dynamical details of the system [25].…”

Section: Therefore One Might View Such a Binary Collision Like A Usua...mentioning

confidence: 87%

Multicomponent modified Boltzmann equation and thermalization

Horváth

Bı́ró

2014

Eur. Phys. J. Plus

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Abstract. The existence of stationary distributions in a multicomponent Boltzmann equation using a non-additive kinetic energy composition rule for binary collisions is discussed. It is found that detailed balance is not achieved when -in contrast to the case of a single rule -several different composition rules are considered. The long-time behaviour of a simple momentum space model is explored numerically: saturating, heating and cooling solutions are presented. These results may be used in modelling the kinetics of multicomponent systems, such as hadronic fireballs or quarkgluon plasma.

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“…Since it was proposed in the literature, several works on DO were carried out in different contexts. For example, in the studies of thermodynamic properties [4][5][6][7], mathematical physics [8][9][10][11][12][13], quantum chromodynamics [14,15], quantum optics [16,17], graphene physics [18][19][20][21], and so on. Recently, the first experimental realization of the onedimensional Dirac oscillator was obtained by Franco-Villafañe et al [22].…”

Section: Introductionmentioning

confidence: 99%

Bound-state solutions of the Dirac oscillator in an Aharonov-Bohm-Coulomb system

Oliveira¹,

Maluf²,

Almeida³

2019

Annals of Physics

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In this work, we study of the (2+1)-dimensional Dirac oscillator in the presence of a homogeneous magnetic field in an Aharonov-Bohm-Coulomb system. To solve our system, we apply the lef thanded and right-handed projection operators in the Dirac oscillator to obtain a biconfluent Heun equation. Next, we explicitly determine the energy spectrum for the bound states of the system and their exact dependence on the cyclotron frequency ω c and on the parameters Z and Φ AB that characterize the Aharonov-Bohm-Coulomb system. As a result, we observe that by adjusting the frequency of the Dirac oscillator to resonate with the cyclotron half-frequency the energy spectrum reduces to the rest energy of the particle. Also, we determine the exact eigenfunctions, angular frequencies, and energy levels of the Dirac oscillator for the ground state (n = 1) and the first excited state (n = 2). In this case, the energy levels do not depend on the homogeneous magnetic field, and the angular frequencies are real and positive quantities, increase quadratically with the energy and linearly with ω c .

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About a nonadditivity of energy and entropy

Cited by 8 publications

References 20 publications

High-fidelity quantum memory utilizing inhomogeneous nuclear polarization in a quantum dot

High-fidelity quantum memory utilizing inhomogeneous nuclear polarization in a quantum dot

Multicomponent modified Boltzmann equation and thermalization

Bound-state solutions of the Dirac oscillator in an Aharonov-Bohm-Coulomb system

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