Energy transport in Sachdev-Ye-Kitaev networks coupled to thermal baths

Zanoci, Cristian; Swingle, Brian

doi:10.1103/physrevresearch.4.023001

Cited by 9 publications

(29 citation statements)

References 86 publications

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“…Third, we verified that the Wiedemann-Franz ratio approaches a known constant at zero temperature [21]. Last, but not least, we related the eigenvalues of the diffusivity matrix to an upper bound set by chaos D ± ≤ v 2 B /λ L at all temperatures and saturated in the conformal limit [7,21,31,70]. Our results provide concrete values for the transport coefficients that can be measured in the aforementioned experiments.…”

Section: Introductionsupporting

confidence: 68%

“…This work represents a natural extension of our previous analysis of energy diffusion in Majorana SYK models [7]. Since complex fermions feature both charge and energy conservation, we were able to fully characterize the combined thermoelectric response of a strange metal and expose some of its most fascinating aspects.…”

Section: Introductionmentioning

confidence: 76%

“…For a general class of models, we have previously shown that the local Green's functions in NESS are only slightly perturbed from their equilibrium values in the case of weak driving [7]. This allowed us to find these nonequilibrium corrections explicitly in terms of the equilibrium Green's functions, without having to solve for the open-system dynamics.…”

Section: Introductionmentioning

confidence: 99%

“…The non-equilibrium dynamics of SYK models has been previously studied through various quench protocols [50][51][52][53][54] or through couplings to external baths [7,[55][56][57][58][59][60] and Lindblad operators [61,62]. In particular, several questions pertaining to transport and chaos in higherdimensional lattices of coupled SYK clusters have been addressed [7,21,[31][32][33][34][35][36][37]. These include many indicative properties of strange metals, such as diffusive propagation of energy [21,31,33] and resistivity that scales linearly with temperature [33,36].…”

Section: Introductionmentioning

confidence: 99%

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Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models

Zanoci,

Swingle

2022

Preprint

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We study the non-equilibrium dynamics of a one-dimensional complex Sachdev-Ye-Kitaev chain by directly solving for the steady state Green's functions in terms of small perturbations around their equilibrium values. The model exhibits strange metal behavior without quasiparticles and features diffusive propagation of both energy and charge. We explore the thermoelectric transport properties of this system by imposing uniform temperature and chemical potential gradients. We then expand the conserved charges and their associated currents to leading order in these gradients, which we can compute numerically and analytically for different parameter regimes. This allows us to extract the full temperature and chemical potential dependence of the transport coefficients. In particular, we uncover that the diffusivity matrix takes on a simple form in various limits and leads to simplified Einstein relations. At low temperatures, we also recover a previously known result for the Wiedemann-Franz ratio. Furthermore, we establish a relationship between diffusion and quantum chaos by showing that the diffusivity eigenvalues are upper bounded by the chaos propagation rate at all temperatures. Our work showcases an important example of an analytically tractable calculation of transport properties in a strongly interacting quantum system and reveals a more general purpose method for addressing strongly coupled transport.

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Section: Introductionsupporting

confidence: 68%

Section: Introductionmentioning

confidence: 76%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models

Zanoci,

Swingle

2022

Preprint

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“…In this paper we are interested in the thermalization dynamics of the SYK model [1,[24][25][26][27][28][29][30][31][32]. Due to its lack of quasiparticles the relaxation time is expected to be 'Planckian', 1/τ = f k B T / , for low temperatures, where f is a constant of order 1 [15].…”

Section: Introductionmentioning

confidence: 99%

Thermalization of many many-body interacting SYK models

Louw,

Kehrein

2021

Preprint

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We investigate the non-equilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the q → ∞ limit, where q/2 denotes the order of the random Dirac fermion interaction. We extend previous results by Eberlein et al. [1] to show that a single SYK q → ∞ Hamiltonian for t ≥ 0 is a perfect thermalizer in the sense that the local Green's function is instantaneously thermal. The only memories of the quantum state for t < 0 are its charge density and its energy density at t = 0. Our result is valid for all quantum states amenable to a 1/q-expansion, which are generated from an equilibrium SYK state in the asymptotic past and acted upon by an arbitrary combination of time-dependent SYK Hamiltonians for t < 0. Importantly, this implies that a single SYK q → ∞ Hamiltonian is a perfect thermalizer even for non-equilibrium states generated in this manner.

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Near-equilibrium approach to transport in complex Sachdev-Ye-Kitaev models

Zanoci

Swingle

2022

Phys. Rev. B

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Energy transport in Sachdev-Ye-Kitaev networks coupled to thermal baths

Cited by 9 publications

References 86 publications

Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models

Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models

Thermalization of many many-body interacting SYK models

Near-equilibrium approach to transport in complex Sachdev-Ye-Kitaev models

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