Energy transfer in the nonequilibrium spin-boson model: From weak to strong coupling

Liu, Junjie; Xu, Hui; Li, Baowen; Wu, Chao

doi:10.1103/physreve.96.012135

Cited by 40 publications

(34 citation statements)

References 55 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With the DCG method we could thus show that there is an intermediate regime between a genuine quantum effect and a classical rate equation dynamics to optimize the performance of a quantum device under dissipative conditions. This seems thus reminiscent to the interplay of quantum and dissipative effects in other transport scenarios [60][61][62][63].…”

Section: Discussionmentioning

confidence: 94%

Maxwell’s demon in the quantum-Zeno regime and beyond

Engelhardt

Schaller

2018

New J. Phys.

View full text Add to dashboard Cite

The long-standing paradigm of Maxwell's demon is till nowadays a frequently investigated issue, which still provides interesting insights into basic physical questions. Considering a single-electron transistor, where we implement a Maxwell demon by a piecewise-constant feedback protocol, we investigate quantum implications of the Maxwell demon. To this end, we harness a dynamical coarsegraining method, which provides a convenient and accurate description of the system dynamics even for high measurement rates. In doing so, we are able to investigate the Maxwell demon in a quantumZeno regime leading to transport blockade. We argue that there is a measurement rate providing an optimal performance. Moreover, we find that besides building up a chemical gradient, there can be also a regime where the feedback loop additionally extracts energy, which results from the energy nonconserving character of the projective measurement.

show abstract

Section: Discussionmentioning

confidence: 94%

Maxwell’s demon in the quantum-Zeno regime and beyond

Engelhardt

Schaller

2018

New J. Phys.

View full text Add to dashboard Cite

show abstract

“…To simulate the transients and steady state behavior of heat exchange in the NESB model, efforts have been made to generalize methodologies originally developed for time evolving the reduced density matrix. A partial list includes perturbative (Born-Markov) quantum master equation tools [28,29,34], the noninteracting blip approximation (NIBA) [14,28,29], the nonequilibrium polarontransformed Redfield equation [18,19], Green's function methods [20,[35][36][37][38], wavefunction approaches [39], hierarchical equations of motion [24,40,41], path integral methodologies [22,[42][43][44][45], and mixed quantum-classical equations [46].…”

Section: Introductionmentioning

confidence: 99%

Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach

Kilgour

Agarwalla

Segal

2019

The Journal of Chemical Physics

View full text Add to dashboard Cite

We develop and test a computational framework to study heat exchange in interacting, nonequilibrium open quantum systems. Our iterative full counting statistics path integral (iFCSPI) approach extends a previously well-established influence functional path integral method, by going beyond reduced system dynamics to provide the cumulant generating function of heat exchange. The method is straightforward; we implement it for the nonequilibrium spin boson model to calculate transient and long-time observables, focusing on the steady-state heat current flowing through the system under a temperature difference. Results are compared to perturbative treatments and demonstrate good agreement in the appropriate limits. The challenge of converging nonequilibrium quantities, currents and high order cumulants, is discussed in detail. The iFCSPI, a numerically exact technique, naturally captures strong system-bath coupling and non-Markovian effects of the environment. As such, it is a promising tool for probing fundamental questions in quantum transport and quantum thermodynamics.arXiv:1812.03044v1 [cond-mat.stat-mech]

show abstract

“…Extensions to this result were discussed in [39,40], going beyond the assumption of á ñ = V 0 B . Other studies had employed the polaron picture as a starting point for higher order perturbative treatments [78,79]. We display the CGF in figure 4, and exemplify the current and its noise in figure 5, exposing a thermal diode effect.…”

mentioning

confidence: 99%

Quantum energy exchange and refrigeration: a full-counting statistics approach

Friedman¹,

Agarwalla²,

Segal³

2018

New J. Phys.

View full text Add to dashboard Cite

We formulate a full-counting statistics description to study energy exchange in multi-terminal junctions. Our approach applies to quantum systems that are coupled either additively or nonadditively (cooperatively) to multiple reservoirs. We derive a Markovian Redfield-type equation for the counting-field dependent reduced density operator. Under the secular approximation, we confirm that the cumulant generating function satisfies the heat exchange fluctuation theorem. Our treatment thus respects the second law of thermodynamics. We exemplify our formalism on a multi-terminal two-level quantum system, and apply it to realize the smallest quantum absorption refrigerator, operating through engineered reservoirs, and achievable only through a cooperative bath interaction model. of the current and subsequent suppression with increasing interaction strength, appears once the system-bath interaction energy becomes comparable to the system's natural frequencies.Physically, strong system-bath interactions are responsible for three-phonon (and more) scattering contributions to thermal transport problems, beyond the weak-coupling resonant term. Alternatively, rather than focusing on the distinction between strong and weak-coupling, one may classify system-bath interaction operators based on whether they are additive or non-additive in the different reservoirs. These two classes of models, additive and non-additive, realize distinctive energy transport characteristics and refrigeration as we show in this work.An autonomous absorption refrigerator transfers thermal energy from a cold bath to a hot bath without an input power by using thermal energy provided from a so-called work reservoir. In a recent study [41], we demonstrated that the smallest system, a qubit, is incapable of operating as a quantum absorption refrigerator (QAR) when the baths are coupled weakly-additively to the system. However, we demonstrated that by coupling the system in a non-additive manner to three heat baths, which are spectrally structured, a cooling function was achieved. Moreover, we showed that the system reached the Carnot bound when the reservoirs were characterized by a single frequency component. This study thus clearly illustrates that non-additive models can bring in a new function, which is missing in additive scenarios. On the other hand, as was pointed out in [41] and illustrated earlier on in [35,36,38], the dynamics of non-additive models can be treated with standard kinetic quantum master equations (QMEs), albeit with a non-additive, baths-cooperative dissipator.The objective of this paper is to present a rigorous, thermodynamically consistent formalism for the calculation of energy exchange (current and cumulants) in additive and non-additive interaction models, thus develop the groundwork of the qubit-QAR presented in [41]. Our formalism utilizes a full-counting statistics (FCS) approach that provides cumulants of energy exchange to all orders [26,[42][43][44][45]. In this method, rather than focusing directly on the averaged heat...

show abstract

Energy transfer in the nonequilibrium spin-boson model: From weak to strong coupling

Cited by 40 publications

References 55 publications

Maxwell’s demon in the quantum-Zeno regime and beyond

Maxwell’s demon in the quantum-Zeno regime and beyond

Path-integral methodology and simulations of quantum thermal transport: Full counting statistics approach

Quantum energy exchange and refrigeration: a full-counting statistics approach

Contact Info

Product

Resources

About