Quantum transport efficiency and Fourier's law

Manzano, Daniel; Tiersch, Markus; Asadian, Ali; Briegel, Hans J.

doi:10.1103/physreve.86.061118

Cited by 91 publications

(130 citation statements)

References 23 publications

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“…The conductivities are then obtained by measuring expectation values of the current observables in the steady states of the Lindblad equation, in the thermodynamic limit N → ∞ (see e.g., [115]). This approach has been extensively used in recent years to study heat transport in one-dimensional models of quantum spin chains coupled at their ends with Lindblad heat baths [54,153,106,103,91,138,2], as well as in chains of quantum oscillators [160,62] (for a recent review see e.g., [104,18]). …”

Section: Fourier Law In Quantum Mechanicsmentioning

confidence: 99%

From Thermal Rectifiers to Thermoelectric Devices

Benenti

Casati

Mejía‐Monasterio

et al. 2016

Thermal Transport in Low Dimensions

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We discuss thermal rectification and thermoelectric energy conversion from the perspective of nonequilibrium statistical mechanics and dynamical systems theory. After preliminary considerations on the dynamical foundations of the phenomenological Fourier law in classical and quantum mechanics, we illustrate ways to control the phononic heat flow and design thermal diodes. Finally, we consider the coupled transport of heat and charge and discuss several general mechanisms for optimizing the figure of merit of thermoelectric efficiency.

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Section: Fourier Law In Quantum Mechanicsmentioning

confidence: 99%

From Thermal Rectifiers to Thermoelectric Devices

Benenti

Casati

Mejía‐Monasterio

et al. 2016

Thermal Transport in Low Dimensions

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“…This result proves the essentially coherent character of the twin dynamic phase transitions and related symmetry-breaking phenomena, as they disappear whenever the bulk system dynamics is not purely coherent. A similar change of regime due to a dephasing channel has already been observed in lattices of qubits and harmonic oscillators far from equilibrium, where an arbitrary amount of dephasing makes the transport change from ballistic to diffusive [51] (see also [55]). …”

Section: -5mentioning

confidence: 73%

“…We will refer to these qubits as terminal, while the remaining qubits form the bulk. The full system dynamics, including the incoherent hopping from the baths, can be described by a Markovian master equation (1) Similar qubit models, with dipole-dipole interactions, have been also studied in order to analyze quantum Fourier's law [50,51] and energy transfer in quantum networks, both in the transient [52] and steady state regimes [47]. The Hamiltonian (6) is also related with that of the Lipkin-Meshkov-Glick model, that was introduced in 1965 to describe phase transitions in nuclei [53].…”

Section: Application To Open Quantum Networkmentioning

confidence: 99%

Symmetry and the thermodynamics of currents in open quantum systems

Manzano

Hurtado

2014

Phys. Rev. B

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Symmetry is a powerful concept in physics, and its recent application to understand nonequilibrium behavior is providing deep insights and groundbreaking exact results. Here we show how to harness symmetry to control transport and statistics in open quantum systems. Such control is enabled by a first-order-type dynamic phase transition in current statistics and the associated coexistence of different transport channels (or nonequilibrium steady states) classified by symmetry. Microreversibility then ensues, via the Gallavotti-Cohen fluctuation theorem, a twin dynamic phase transition for rare current fluctuations. Interestingly, the symmetry present in the initial state is spontaneously broken at the fluctuating level, where the quantum system selects the symmetry sector that maximally facilitates a given fluctuation. We illustrate these results in a qubit network model motivated by the problem of coherent energy harvesting in photosynthetic complexes, and introduce the concept of a symmetry-controlled quantum thermal switch, suggesting symmetry-based design strategies for quantum devices with controllable transport properties.

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“…The average number of excitations in each reservoir is given by the Bose-Einstein distribution, n Definition of the heat current. Heat flow is characterized by heat current J heat , defined with the aid of a continuity equation for the average energy going through the system H S [23,24],…”

Section: L(r) Zmentioning

confidence: 99%

“…Artificial atoms also interact with their solidstate environment. There is the need to understand, at the single-quantum level, for instance, the influence of temperature [23][24][25] and of phonons [26,27], fluctuating charges [28], nuclear or electronic spins [29]. Analogies to diodes and transistors are also extendable to the flow of all such complex excitations [30].…”

mentioning

confidence: 99%

Optimal rectification in the ultrastrong coupling regime

Werlang¹,

Marchiori²,

Cornelio³

et al. 2014

Phys. Rev. E

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We study heat transport in a pair of strongly coupled spins. In particular, we present a condition for optimal rectification, i.e., flow of heat in one direction and complete isolation in the opposite direction. We show that the strong-coupling formalism is necessary for correctly describing heat flow in a wide range of parameters, including moderate to low couplings. We present a situation in which the strong-coupling formalism predicts optimal rectification whereas the phenomenological approach predicts no heat flow in any direction, for the same parameter values. [11,12]. It opens perspectives in quantum information processing, motivating studies on light-matter interaction at the single-photon level [13][14][15][16][17]. In analogy to modern electronic circuits, quantum devices have been proposed such as photon diodes [18,19] and photon transistors [20,21]. Diodes are current rectifiers. An optimal rectifier is able to conduct current in one sense and isolate it in the opposite sense.All such realistic quantum systems are, of course, open. Natural atoms interact with electromagnetic environments [22]. Artificial atoms also interact with their solidstate environment. There is the need to understand, at the single-quantum level, for instance, the influence of temperature [23][24][25] and of phonons [26,27], fluctuating charges [28], nuclear or electronic spins [29]. Analogies to diodes and transistors are also extendable to the flow of all such complex excitations [30].Manipulation of individual quantum systems also gave birth to engineered interactions between those systems [31]. In particular, ultra-strong couplings are achieved, e.g., between a two-level system and a single-mode cavity in circuit QED [32], totally modifying standard quantum optical scenarios [33].In this paper, we explore heat transport under the influence of strong coupling between spins. We argue that the strong-coupling formalism is necessary even for moderate and low couplings. We treat a case where optimal rectification is expected within the strong-coupling description and is completely absent for the standard phenomenological approach. Optimal rectification is evidenced by the system of two spins coupled via Ising interaction. A broad range of experiments is capable of reproducing Ising-type interactions, simulating spins in the strong-coupling regime [34].Model. The system of interest consists in a pair of interacting spins. We define the coupling constant ∆ between the spins in the z-direction. The magnetic field h applied to the spin on the left is also in the z-direction. The Hamiltonian of the system isThe spin on the left (right) is coupled with a thermal reservoir at a given temperature T L (T R ). The system is illustrated in Figure 1(a). The four eigenstates of H S are given in terms of the eigenstates of σ, | ↑ and | ↓ , in decreasing energy order for the case of interest, ∆ < h, |4 = | ↑↑ , |3 = | ↑↓ , |2 = | ↓↓ , |1 = | ↓↑ We define the transition frequencies as ω mn = m − n , where k is the eigenvalue of H S for the eig...

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Quantum transport efficiency and Fourier's law

Cited by 91 publications

References 23 publications

From Thermal Rectifiers to Thermoelectric Devices

From Thermal Rectifiers to Thermoelectric Devices

Symmetry and the thermodynamics of currents in open quantum systems

Optimal rectification in the ultrastrong coupling regime

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