Nonequilibrium dynamics with finite-time repeated interactions

Seah, Stella; Nimmrichter, Stefan; Scarani, Valerio

doi:10.1103/physreve.99.042103

Cited by 52 publications

(54 citation statements)

References 52 publications

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“…(3) to describe a multipartite open quantum system, since it is well known that going beyond its range of validity might lead to thermodynamic inconsistencies [37,38,50]. The parameter range in which the many approximations underlying both global and local master equations are satisfied have been critically (and extensively) discussed in the literature [36,43,[51][52][53][54][55][56][57][58][59]. Interestingly, local master equations also arise naturally when considering certain repeated-interaction models [24,43,59].…”

Section: Quantum Phase-space Methodsmentioning

confidence: 99%

Wigner entropy production and heat transport in linear quantum lattices

et al. 2019

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When a quantum system is coupled to several heat baths at different temperatures, it eventually reaches a non-equilibrium steady state featuring stationary internal heat currents. These currents imply that entropy is continually being produced in the system at a constant rate. In this paper we apply phase-space techniques to the calculation of the Wigner entropy production on general linear networks of harmonic nodes. Working in the ubiquitous limit of weak internal coupling and weak dissipation, we obtain simple closed-form expressions for the entropic contribution of each individual quasi-probability current. Our analysis highlights the essential role played by the internal unitary interactions (node-node couplings) in maintaining a non-equilibrium steadystate and hence a finite entropy production rate. We also apply this formalism to the paradigmatic problem of energy transfer through a chain of oscillators subject to self-consistent internal baths that can be used to tune the transport from ballistic to diffusive. We find that the entropy production scales with different power law behaviors in the ballistic and diffusive regimes, hence allowing us to quantify what is the "entropic cost of diffusivity." *

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Section: Quantum Phase-space Methodsmentioning

confidence: 99%

Wigner entropy production and heat transport in linear quantum lattices

et al. 2019

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“…These nonequilibrium resources are a set of small, externally prepared systems -called 'units' in the following -which are sequentially put into contact with the system under study. This setup is known as the 'repeated interaction framework' or 'collisional model' and it has recently attracted much attention in quantum thermodynamics [8][9][10][11][12][13][14][15][16][17]. However, the coupling to an additional external heat bath (typically present in an experiment) was mostly ignored, a weakly coupled Markovian one was only treated in Ref.…”

Section: Introductionmentioning

confidence: 99%

Repeated Interactions and Quantum Stochastic Thermodynamics at Strong Coupling

Strasberg

2019

Phys. Rev. Lett.

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We show that the thermodynamic framework of repeated interactions can be generalized to an arbitrary open quantum system in contact with a single heat bath. Based on this we then extend our findings to arbitrary measurements performed on the system. By construction, this constitutes a direct experimentally testable framework in strong coupling quantum thermodynamics. Moreover, the results are of importance in the experimentally relevant situation where only subsystems of a thermodynamic device can be accessed. Finally, the setting allows us to rigorously investigate the interplay between non-Markovianity and nonequilibrium thermodynamics.

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“…In this Letter, we introduce an alternative framework of thermometry inspired by collisional models [23][24][25][26][27], in which the quantum advantages arise from repeated interactions between a continuous stream of independently prepared ancillas and a system mediating the thermal contact with the environment. We show that, at sufficiently high repetition rates and strong interactions, individual ancillas already surpass the thermal Cramer-Rao bound [12].…”

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confidence: 99%

Collisional Quantum Thermometry

et al. 2019

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We introduce a general framework for thermometry based on collisional models, where ancillas probe the temperature of the environment through an intermediary system. This allows for the generation of correlated ancillas even if they are initially independent. Using tools from parameter estimation theory, we show through a minimal qubit model that individual ancillas can already outperform the thermal Cramer-Rao bound. In addition, due to the steady-state nature of our model, when measured collectively the ancillas always exhibit superlinear scalings of the Fisher information. This means that even collective measurements on pairs of ancillas will already lead to an advantage. As we find in our qubit model, such a feature may be particularly valuable for weak system-ancilla interactions. Our approach sets forth the notion of metrology in a sequential interactions setting, and may inspire further advances in quantum thermometry.

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Nonequilibrium dynamics with finite-time repeated interactions

Cited by 52 publications

References 52 publications

Wigner entropy production and heat transport in linear quantum lattices

Wigner entropy production and heat transport in linear quantum lattices

Repeated Interactions and Quantum Stochastic Thermodynamics at Strong Coupling

Collisional Quantum Thermometry

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