Counting statistics of collective photon transmissions

Vogl, Malte; Schaller, Gernot; Brandes, Tobias

doi:10.1016/j.aop.2011.07.008

Cited by 19 publications

(44 citation statements)

References 26 publications

(24 reference statements)

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“…T S > T D ), such local balance will break. Unlike the Redfield scheme, where the effective 'equilibrium' state can be quantified through the additive feature of photonic baths [19], it is difficult to analytically obtain such effective distribution in strong coupling within NIBA, due to the nonadditive ∞ −∞ dωC ± (ω) and the probability density C ± (ω) = C S (∓ω)C D (±ω∓∆). To show the expression of population distribution, we assume P m = ay m , and replace it to the kinetic equation at Eq.…”

Section: Steady State Populationmentioning

confidence: 99%

“…(10) within nonequilibrium NIBA seems the same as in the Redfield scheme [19], the transition ratio y from two schemes are quite different, which results from the distinct transfer pictures [24]. For strong system-bath coupling, by applying the nonequilibrium NIBA approach we numerically plot the steady state population at resonance case (ǫ 0 = 0), as shown at Fig.…”

Section: Steady State Populationmentioning

confidence: 99%

“…(7), we are able to analyze the collective steady state behaviors with low computational cost. Unlike the Redfield scheme in the weak coupling regime, which shows resonant and additive transport behaviors [19,20], population dynamics at Eq. (7) describes the nonresonant photonic energy transport process [24,27,28], which is clearly demonstrated from the transition rate at Eq.…”

Section: B Quantum Kinetic Equationmentioning

confidence: 99%

“…(7) and Redfield scheme at Ref. [19]. The parameters are given by N = 6, ǫ0 = 0, ωc = 10∆, α = 0.1∆, TS = 4∆ and TD = 2∆.…”

Section: B Quantum Kinetic Equationmentioning

confidence: 99%

“…Recently, steady state transport behavior of collective qubits weakly coupled to two photonic baths is studied together within Redfield scheme and full counting statistics [17,18], where the thermodynamic bias is applied to drive the unidirectional photonic flow [19,20]. The influence of bath temperatures on the generation of collective quantum transport is intensively analyzed.…”

Section: Introductionmentioning

confidence: 99%

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Nonequilibrium steady state transport of collective-qubit system in strong coupling regime

Wang

Sun

2015

Annals of Physics

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We investigate the steady state photon transport in a nonequilibrium collective-qubit model. By adopting the noninteracting blip approximation, which is applicable in the strong photon-qubit coupling regime, we describe the essential contribution of indirect qubit-qubit interaction to the population distribution, mediated by the photonic baths. The linear relations of both the optimal flux and noise power with the qubits system size are obtained. Moreover, the inversed power-law style for the finite-size scaling of the optimal photon-qubit coupling strength is exhibited, which is proposed to be universal.

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Section: Steady State Populationmentioning

confidence: 99%

Section: Steady State Populationmentioning

confidence: 99%

Section: B Quantum Kinetic Equationmentioning

confidence: 99%

“…(7) and Redfield scheme at Ref. [19]. The parameters are given by N = 6, ǫ0 = 0, ωc = 10∆, α = 0.1∆, TS = 4∆ and TD = 2∆.…”

Section: B Quantum Kinetic Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonequilibrium steady state transport of collective-qubit system in strong coupling regime

Wang

Sun

2015

Annals of Physics

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Microscopic Derivation

Schaller

2014

Lecture Notes in Physics

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Steady state current fluctuations and dynamical control in a nonequilibrium single-site Bose–Hubbard system

Chen

Wang

Sun

2018

Physica A: Statistical Mechanics and its Applications

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We investigate nonequilibrium energy transfer in a single-site Bose-Hubbard model coupled to two thermal baths. By including a quantum kinetic equation combined with full counting statistics, we investigate the steady state energy flux and noise power. The influence of the nonlinear Bose-Hubbard interaction on the transfer behaviors is analyzed, and the nonmonotonic features are clearly exhibited. Particularly, in the strong on-site repulsion limit, the results become identical with the nonequilibrium spin-boson model. We also extend the quantum kinetic equation to study the geometric-phase-induced energy pump. An interesting reversal behavior is unraveled by enhancing the Bose-Hubbard repulsion strength. Geometric-phase induced energy pump IntroductionFar-from-equilibrium transport, out of linear-response and quasi-equilibrium regimes, has been attracting much attention, ranging from molecular electronics, quantum magnets to strongly-correlated materials [1][2][3][4][5], which is of great importance both for fundamental research and practical application. According to the second law of thermodynamics, energy will flow naturally from the hot source to the cold drain, under the thermodynamic bias. Thus, how to control energy transfer in low-dimensional quantum systems becomes a crucial issue, to unravel the nonequilibrium mechanism and improve the design of efficient devices [6].Many proposals have been carried out to study nonequilibrium transport in fermionic systems [7]. Various interesting phenomena have been unraveled mainly due to the interplay between the voltage and the temperature bias. In particular, the photovoltaic effect, driven by the nonequilibrium light-electron interaction, provides an efficient way to convert the sunlight to electricity for useful performance [8]. And the influence of quantum coherence on improving the photovoltaic efficiency was recently proposed [9][10][11]. While the thermoelectric effect, one typical kind of heat transfer, describes direct conversion of the thermal bias to electric voltage [7,12]. The relationship between the thermoelectric figure of merit and the conversion efficiency has been quantitatively characterized [13,14]. Moreover, the Kondo effect, an anomalous feature of the conductance in low temperature regime, describes the scattering of the conduction electrons mediated by a magnetic impurity [15,16]. However, as an intimate analogy, the corresponding bosonic systems are lack of exploitation.Recently, due to fast development of photonics and phononics in quantum transport, the bosonic systems gain significant popularity [17][18][19][20][21][22][23][24][25][26]. As a prototype, the nonequilibrium single-site Bose-Hubbard (SSBH) model is introduced to describe the bosonic system-reservoir interaction [27,28]. The nonlinear Bose-Hubbard coupling is found to be crucial to exhibit novel steady state behaviors. Such an interaction can be realized by Kerr interaction in quantum optics [29], by tuning the qubit to the dispersive regime in circuit quantum electrodynami...

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Counting statistics of collective photon transmissions

Cited by 19 publications

References 26 publications

Nonequilibrium steady state transport of collective-qubit system in strong coupling regime

Nonequilibrium steady state transport of collective-qubit system in strong coupling regime

Microscopic Derivation

Steady state current fluctuations and dynamical control in a nonequilibrium single-site Bose–Hubbard system

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