Operator spreading in quantum hardcore gases

Medenjak, Marko

doi:10.48550/arxiv.2201.00395

Cited by 2 publications

(3 citation statements)

References 32 publications

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“…In the hardcore automaton (and other charged single-file systems) εp = log κ 2 . We have therefore established that in the considered models with time-reversal invariant dynamics the joint particle-charge fluctuation relation (103) is unconditionally satisfied in the entire parameter space despite dynamical phase transitions.…”

Section: Multivariate Fluctuation Relationmentioning

confidence: 82%

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Universal anomalous fluctuations in charged single-file systems

Krajnik¹,

Schmidt²,

Pasquier³

et al. 2022

Preprint

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Conventional classification of dynamical phenomena is based on universal hydrodynamic relaxation characterized by algebraic dynamical exponents and asymptotic scaling of the dynamical structure factor. This work uncovers a novel type of dynamical universality reflected in statistical properties of macroscopic fluctuating observables such as the transmitted charge. By considering a general class of one-dimensional single-file systems (meaning that particle crossings are prohibited) of interacting hardcore charged particles, we demonstrate that stringent dynamical constraints give rise to universal anomalous statistics of cumulative charge currents manifested both on the timescale characteristic of typical fluctuations and also in the rate function describing rare events. By computing the full counting statistics of net transferred charge between two extended subsystems, we establish a number of unorthodox dynamical properties in an analytic fashion. Most prominently, typical fluctuations in equilibrium are governed by a universal distribution that markedly deviates from the expected Gaussian statistics, whereas large fluctuations are described by an exotic large-deviation rate function featuring an exceptional triple critical point. Far from equilibrium, competition between dynamical phases leads to dynamical phase transitions of first and second order. Despite dynamical criticality, we find the large-deviation rate function of the joint particle-charge transfer obeys the fluctuation relation. Curiously, the univariate charge-current rate function experiences a spontaneous breaking of fluctuation symmetry upon varying the particle and charge densities in a nonequilibrium initial state. The rich phenomenology of the outlined dynamical universality is exemplified on an exactly solvable classical cellular automaton of charged hardcore particles. We determine the dynamical phase diagram in the framework of Lee-Yang's theory of phase transitions and exhibit a hyper-dimensional diagram of distinct dynamical regimes.

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Section: Multivariate Fluctuation Relationmentioning

confidence: 82%

“…1, was introduced and studied initially in Ref. [100] (see also the follow-up works [101][102][103]).…”

Section: A Representative Modelsmentioning

confidence: 99%

Universal anomalous fluctuations in charged single-file systems

Krajnik¹,

Schmidt²,

Pasquier³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…This motivates the study of selected integrable models with even simpler dynamics, where there is some interaction in the system, nevertheless closed form results can be derived for the real time evolution of certain physical quantities. Such models include the Rule54 cellular automaton [12][13][14][15][16][17], the box-ball systems [10,18,19], classical cellular automata of the XXC type [9,[20][21][22][23][24], nontrivial strong coupling limits of known models [25][26][27] including the folded XXZ model [28][29][30][31], or quantum circuits that are both integrable and dual-unitary [32]. A common property of these models is that the scattering of the particles (either classical or quantum) is rather simple compared to a generic integrable model.…”

Section: Introductionmentioning

confidence: 99%

Sublattice entanglement in an exactly solvable anyonlike spin ladder

Pozsgay

Hutsalyuk²,

Pristyák³

et al. 2022

Phys. Rev. E

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We introduce an integrable spin ladder model and study its exact solution, correlation functions, and entanglement properties. The model supports two particle types (corresponding to the even and odd sub-lattices), such that the scattering phases are constants: particles of the same type scatter as free fermions, whereas the inter-particle phase shift is a constant tuned by an interaction parameter. Therefore, the spin ladder bears similarities with anyonic models. We present exact results for the spectrum and correlation functions, and we study the sub-lattice entanglement by numerical means.

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Operator spreading in quantum hardcore gases

Cited by 2 publications

References 32 publications

Universal anomalous fluctuations in charged single-file systems

Universal anomalous fluctuations in charged single-file systems

Sublattice entanglement in an exactly solvable anyonlike spin ladder

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