Nonadiabatic effect on the quantum heat flux control

Uchiyama, Chikako

doi:10.1103/physreve.89.052108

Cited by 31 publications

(54 citation statements)

References 41 publications

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“….) with ω = 2π/τ ], which had been researched recently [31,35,52,53]. If the modulation of the control parameters is not adiabatic, the difference between the state and the instantaneous steady state, ρ a (t)…”

Section: B Nonadiabatic Effect and Bsn Vectormentioning

confidence: 99%

Interaction effect on adiabatic pump of charge and spin in quantum dot

et al. 2015

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We investigate the pumped charge and spin at zero bias by a modulation of two control parameters using the full counting statistics with quantum master equation approach. First we study higher order effects of the pumping frequency in general Markov systems and show in this limit the equivalence between our approach and the real-time diagrammatic approach. An adiabatic modulation of the control parameters induces the BerrySinitsyn-Nemenman (BSN) phase. We show that the origin of the BSN phase is a nonadiabatic effect. The pumped charge (spin) is given by a summation of (i) a time integral of the instantaneous steady charge (spin) current and (ii) a geometric surface integral of the BSN curvature, which results from the BSN phase. In quantum dots (QDs) weakly coupled to two leads, we show that (i) is usually dominant if the thermodynamic parameters are modulated, although it is zero if the thermodynamic parameters are fixed to zero bias. To observe the spin effects, we consider collinear magnetic fields, which relate to spins through the Zeeman effect, with different amplitudes applying to the QDs and the leads. For interacting one level QD, we calculate analytically the pumped charge and spin by modulating the magnetic fields and the coupling strengths to the leads in the noninteracting and strong interacting limits. We show that the difference between these two limits appears through the instantaneous averages of the numbers of the electron with up and down spin in the QD. For the quantum pump by the modulation of the magnetic fields of the QD and one lead, the energy dependences of linewidth functions, which are usually neglected, are essential.

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Section: B Nonadiabatic Effect and Bsn Vectormentioning

confidence: 99%

Interaction effect on adiabatic pump of charge and spin in quantum dot

et al. 2015

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“…Heat pumping across a two-state system has been studied in weak-coupling Redfield theory [23], in the strong-coupling noninteracting-blip approximation [24], and in the Markov approximation [25]. The heat flux in a driven resonant level model has been discussed in the adiabatic regime within a scattering approach [26].…”

Section: Introductionmentioning

confidence: 99%

Functional integral approach to time-dependent heat exchange in open quantum systems: general method and applications

et al. 2015

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We establish the path integral approach for the time-dependent heat exchange of an externally driven quantum system coupled to a thermal reservoir. We derive the relevant influence functional and present an exact formal expression for the moment generating functional which carries all statistical properties of the heat exchange process for general linear dissipation. The method is applied to the time-dependent average heat transfer in the dissipative two-state system (TSS). We show that the heat can be written as a convolution integral which involves the population and coherence correlation functions of the TSS and additional correlations due to a polarization of the reservoir. The corresponding expression can be solved in the weak-damping limit both for white noise and for quantum mechanical coloured noise. The implications of pure quantum effects are discussed. Altogether a complete description of the dynamics of the average heat transfer ranging from the classical regime down to zero temperature is achieved.

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“…From the dynamical control perspective, the timedependent modulation of heat transfer in the NESB model has also attracted tremendous attention, enriching the transfer mechanisms [14][15][16][17][29][30][31][32][33]. The typical realization of the dynamical modulation is the adiabatic quantum pump, which was originally proposed by D. J. Thouless to study the effect of Berry-phase-induced quantization on closed-system transport [34].…”

Section: Introductionmentioning

confidence: 99%

“…In accordance with the second law of thermodynamics, it is known that heat energy will naturally transfer from a hot source to a cold drain driven by the thermodynamic bias (e.g., temperature), without an external driving field. Considering external modulations, the optimal mechanism of dynamical control can be unraveled in phononic thermal systems [14][15][16][17], even to pump heat against the temperature bias.…”

Section: Introductionmentioning

confidence: 99%

Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics

Wang¹,

Ren²,

Cao³

2017

Phys. Rev. A

107

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To study the full counting statistics of quantum heat transfer in a driven nonequilibrium spin-boson model, we develop a generalized nonequilibrium polaron-transformed Redfield equation with an auxiliary counting field. This enables us to study the impact of qubit-bath coupling ranging from weak to strong regimes. Without external modulations, we observe maximal values of both steady-state heat flux and noise power in moderate coupling regimes, below which we find that these two transport quantities are enhanced by the finite-qubit-energy bias. With external modulations, the geometric-phase-induced heat flux shows a monotonic decrease upon increasing the qubit-bath coupling at zero qubit energy bias (without bias). While under the finite-qubit-energy bias (with bias), the geometric-phase-induced heat flux exhibits an interesting reversal behavior in the strong coupling regime. Our results unify the seemingly contradictory results in weak and strong qubit-bath coupling regimes and provide detailed dissections for the quantum fluctuation of nonequilibrium heat transfer.

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Nonadiabatic effect on the quantum heat flux control

Cited by 31 publications

References 41 publications

Interaction effect on adiabatic pump of charge and spin in quantum dot

Interaction effect on adiabatic pump of charge and spin in quantum dot

Functional integral approach to time-dependent heat exchange in open quantum systems: general method and applications

Unifying quantum heat transfer in a nonequilibrium spin-boson model with full counting statistics

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