Non-equilibrium steady-states of memoryless quantum collision models

Guarnieri, Giacomo; Morrone, Daniele; Çakmak, Barış; Plastina, Francesco; Campbell, Steve

doi:10.1016/j.physleta.2020.126576

Cited by 58 publications

(76 citation statements)

References 61 publications

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“…The PReB process may be thought of as a collisional or repeated-interaction model [35][36][37][38][39], where the system repeatedly interacts with multiple finite-sized chains. Collisional or repeated-interaction models have provided valuable insight in a diverse range of settings, with quantum thermodynamics [40][41][42][43] and non-Markovian dynamics [44][45][46][47][48][49] being particularly elegant examples. Part of the appeal relies on their computational simplicity which, under suitable constraints, recovers well-known dynamics captured by the Lindblad equation [39].…”

Section: Preb As a Collisional Or Repeated Interaction Modelmentioning

confidence: 99%

“…Obtaining the numerically exact dynamics of interacting quantum many-body chains in such two-terminal setups has been an outstanding problem, despite its relevance in a wide range of contexts, such as quantum transport, localization, integrability breaking [24][25][26][27][28][29][30][31][32][33][34], quantum heat engines, and refrigerators [2]. Further, we discuss the relationship between our formalism and collisional (or repeated interaction) models [35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50], highlighting how our results extend these notions, significantly advancing this highly active field of research. Finally, to demonstrate that our formalism can be combined with not one but any of the existing techniques for numerically exact non-Markovian dynamics [10][11][12][13][14][15][16][17][18][19][20][21][22][23], we also apply our formalism to a spin-boson model employing a completely different numerical technique [17] compared to the one used for the many...…”

Section: Introductionmentioning

confidence: 99%

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Periodically refreshed baths to simulate open quantum many-body dynamics

et al. 2021

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Section: Preb As a Collisional Or Repeated Interaction Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Periodically refreshed baths to simulate open quantum many-body dynamics

et al. 2021

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“…We, in the framework of collision model (or repeated interaction model), will investigate the behaviors of steady heat current between the system and the TTB (also named target heat current-THC, hereafter) and thermal functions of the system with a CAB. Here, it is pointed out that the collision model has become a convenient and powerful tool for studying the dynamics of open quantum system [74], especially for the situations of non-equilibrium bath with quantum effects [75][76][77]. Thus, so far, the general thermodynamic framework of collision models has been explored deeply and established [35,[78][79][80].…”

Section: Introductionmentioning

confidence: 99%

Heat Modulation on Target Thermal Bath via Coherent Auxiliary Bath

et al. 2021

Entropy

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We study a scheme of thermal management where a three-qubit system assisted with a coherent auxiliary bath (CAB) is employed to implement heat management on a target thermal bath (TTB). We consider the CAB/TTB being ensemble of coherent/thermal two-level atoms (TLAs), and within the framework of collision model investigate the characteristics of steady heat current (also called target heat current (THC)) between the system and the TTB. It demonstrates that with the help of the quantum coherence of ancillae the magnitude and direction of heat current can be controlled only by adjusting the coupling strength of system-CAB. Meanwhile, we also show that the influences of quantum coherence of ancillae on the heat current strongly depend on the coupling strength of system—CAB, and the THC becomes positively/negatively correlated with the coherence magnitude of ancillae when the coupling strength below/over some critical value. Besides, the system with the CAB could serve as a multifunctional device integrating the thermal functions of heat amplifier, suppressor, switcher and refrigerator, while with thermal auxiliary bath it can only work as a thermal suppressor. Our work provides a new perspective for the design of multifunctional thermal device utilizing the resource of quantum coherence from the CAB.

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“…19 , these quantities are defined in the weak coupling limit between system and reservoir (see also Refs. 20,21 for recent attempts to examine strongly coupled quantum systems and Refs. 22,23 for separation of internal energy variation in terms of entropy changes).…”

Section: Introductionmentioning

confidence: 99%

Quantum thermodynamics in adiabatic open systems and its trapped-ion experimental realization

Santos

Cui

et al. 2020

npj Quantum Inf

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Quantum thermodynamics aims at investigating both the emergence and the limits of the laws of thermodynamics from a quantum mechanical microscopic approach. In this scenario, thermodynamic processes with no heat exchange, namely, adiabatic transformations, can be implemented through quantum evolutions in closed systems, even though the notion of a closed system is always an idealization and approximation. Here, we begin by theoretically discussing thermodynamic adiabatic processes in open quantum systems, which evolve non-unitarily under decoherence due to its interaction with its surrounding environment. From a general approach for adiabatic non-unitary evolution, we establish heat and work in terms of the underlying Liouville superoperator governing the quantum dynamics. As a consequence, we derive the conditions that an adiabatic open-system quantum dynamics implies in the absence of heat exchange, providing a connection between quantum and thermal adiabaticity. Moreover, we determine families of decohering systems exhibiting the same maximal heat exchange, which imply in classes of thermodynamic adiabaticity in open systems. We then approach the problem experimentally using a hyperfine energy-level quantum bit of an Ytterbium 171 Yb + trapped ion, which provides a work substance for thermodynamic processes, allowing for the analysis of heat and internal energy throughout a controllable engineered dynamics.

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Non-equilibrium steady-states of memoryless quantum collision models

Cited by 58 publications

References 61 publications

Periodically refreshed baths to simulate open quantum many-body dynamics

Periodically refreshed baths to simulate open quantum many-body dynamics

Heat Modulation on Target Thermal Bath via Coherent Auxiliary Bath

Quantum thermodynamics in adiabatic open systems and its trapped-ion experimental realization

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