Less is more: more scattering leading to less resistance

Znidaric, Marko

doi:10.48550/arxiv.2109.08390

Cited by 3 publications

(3 citation statements)

References 43 publications

(56 reference statements)

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“…Thus, dephasing enhanced transport is expected in the regime where the transport was subdiffusive in absence of dephasing. Behavior consistent with above heuristic description has already been observed in various systems within the framework of local Lindblad equations, which can be thought to model the infinite temperature limit [43,65,66,83,84]. This includes a recent study on the Fibonacci model [43].…”

Section: B Dephasing-enhanced Transportsupporting

confidence: 65%

Dephasing-enhanced performance in quasiperiodic thermal machines

Chiaracane,

Purkayastha,

Mitchison

et al. 2021

Preprint

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Understanding and controlling quantum transport in low-dimensional systems is pivotal for heat management at the nanoscale. One promising strategy to obtain the desired transport properties is to engineer particular spectral structures. In this work we are interested in quasiperiodic disorder -incommensurate with the underlying periodicity of the lattice -which induces fractality in the energy spectrum. A well known example is the Fibonacci model which, despite being non-interacting, yields anomalous diffusion with a continuously varying dynamical exponent smoothly crossing over from superdiffusive to subdiffusive regime as a function of potential strength. We study the finite-temperature electric and heat transport in this model in the absence and in the presence of dephasing. Dephasing causes both thermal and electric transport to become diffusive, thereby making thermal and electrical conductivities finite in the thermodynamic limit. Thus, in the subdiffusive regime it leads to enhancement of transport. We find that the thermal and electric conductivities have multiple peaks as a function of dephasing strength. Remarkably, we observe that the thermal and electrical conductivities are not proportional to each other, a clear violation of Wiedemann-Franz law, and the position of their maxima can differ. We argue that this feature can be utilized to enhance performance of quantum thermal machines. In particular, we show that by tuning the strength of the dephasing we can enhance the performance of the device in regimes where it acts as an autonomous refrigerator.

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Section: B Dephasing-enhanced Transportsupporting

confidence: 65%

Dephasing-enhanced performance in quasiperiodic thermal machines

Chiaracane,

Purkayastha,

Mitchison

et al. 2021

Preprint

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“…Qualitatively, integrability-breaking perturbations endow the ballistic quasiparticles with a finite lifetime, after which they scatter or decay. For quantities such as energy that are transported ballistically in the integrable limit, integrability-breaking generically renders transport diffusive: the zero-frequency singularity or "Drude peak" associated with ballistic transport broadens into a Lorentzian feature of width set by the strength of the integrability-breaking perturbation, or alternatively by the life-time of the quasiparticles [51,53,54,[56][57][58][59][60][61][62][63][64][65][66], in full analogy with standard quantum Boltzmann equation [67].…”

mentioning

confidence: 99%

Subdiffusive hydrodynamics of nearly-integrable anisotropic spin chains

De Nardis,

Gopalakrishnan,

Vasseur

et al. 2021

Preprint

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We address spin transport in the easy-axis Heisenberg spin chain subject to integrability-breaking perturbations. We find that spin transport is subdiffusive with dynamical exponent z = 4 up to a timescale that is parametrically long in the anisotropy. In the limit of infinite anisotropy, transport is subdiffusive at all times; for large finite anisotropy, one eventually recovers diffusion at late times, but with a diffusion constant independent of the strength of the integrability breaking perturbation. We provide numerical evidence for these findings, and explain them by adapting the generalized hydrodynamics framework to nearly integrable dynamics. Our results show that the diffusion constant of near-integrable interacting spin chains is not generically a continuous function of the integrability-breaking parameter.

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“…Integrability breaking is a topic that also has a long history [31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51]. The qualitative effects of integrability breaking perturbations are clear: even a small integrability-breaking perturbation leads to thermalization and diffusive transport at sufficiently long times [52], quasiparticles acquire a finite lifetime, and Drude weights in a.c. conductivities are broadened into Lorentzians.…”

Section: Introductionmentioning

confidence: 99%

Integrability breaking in the Rule 54 cellular automaton

Lopez-Piqueres,

Gopalakrishnan,

Vasseur

2022

Preprint

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Cellular automata have recently attracted a lot of attention as testbeds to explore the emergence of many-body quantum chaos and hydrodynamics. We consider the Rule 54 model, one of the simplest interacting integrable models featuring two species of quasiparticles (solitons), in the presence of an integrability-breaking perturbation that allows solitons to backscatter. We study the onset of thermalization and diffusive hydrodynamics in this model, compute perturbatively the diffusion constant of tracer particles, and comment on its relation to transport coefficients.

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Less is more: more scattering leading to less resistance

Cited by 3 publications

References 43 publications

Dephasing-enhanced performance in quasiperiodic thermal machines

Dephasing-enhanced performance in quasiperiodic thermal machines

Subdiffusive hydrodynamics of nearly-integrable anisotropic spin chains

Integrability breaking in the Rule 54 cellular automaton

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