Tomaž Prosen
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View article: Efficient Computation of Cumulant Evolution and Full Counting Statistics: Application to Infinite Temperature Quantum Spin Chains
Efficient Computation of Cumulant Evolution and Full Counting Statistics: Application to Infinite Temperature Quantum Spin Chains Open
We propose a numerical method to efficiently compute quantum generating functions for a wide class of observables in one-dimensional quantum systems at high temperature. We obtain high-accuracy estimates for the cumulants and reconstruct f…
View article: Integrable fishnet circuits and Brownian solitons
Integrable fishnet circuits and Brownian solitons Open
We introduce classical many-body dynamics on a one-dimensional lattice comprising local two-body maps arranged on discrete space-time mesh that serve as discretizations of Hamiltonian dynamics with arbitrarily time-varying coupling constan…
View article: Exact Nonequilibrium Steady State of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>X</mml:mi><mml:mi>X</mml:mi><mml:mi>Z</mml:mi></mml:math> Circuits Boundary Driven with Arbitrary Resets or Fields
Exact Nonequilibrium Steady State of Circuits Boundary Driven with Arbitrary Resets or Fields Open
We propose a spatially inhomogeneous matrix product for an exact many-body density operator of a boundary-driven XXZ quantum circuit. The has formally infinite bond dimension and is fundamentally different from previous constructions. The …
View article: Deterministic many-body dynamics with multifractal response
Deterministic many-body dynamics with multifractal response Open
Dynamical systems can display a plethora of ergodic and ergodicity breaking behaviors, ranging from simple periodicity to ergodicity and chaos. Here we report an unusual type of nonergodic behavior in a many-body discrete-time dynamical sy…
View article: Deterministic many-body dynamics with multifractal response
Deterministic many-body dynamics with multifractal response Open
Dynamical systems can display a plethora of ergodic and ergodicity breaking behaviors, ranging from simple periodicity to ergodicity and chaos. Here we report an unusual type of nonergodic behavior in a many-body discrete-time dynamical sy…
View article: Dissipatively dressed quasiparticles in boundary driven integrable spin chains
Dissipatively dressed quasiparticles in boundary driven integrable spin chains Open
The nonequilibrium steady state (NESS) of integrable spin chains experiencing strong boundary dissipation is accounted by introducing quasiparticles with a renormalized -- dissipatively dressed -- dispersion relation. This allows us to eva…
View article: Exactly solvable many-body dynamics from space-time duality
Exactly solvable many-body dynamics from space-time duality Open
Recent years have seen significant advances, both theoretical and experimental, in our understanding of quantum many-body dynamics. Given this problem's high complexity, it is surprising that a substantial amount of this progress can be as…
View article: Dynamic scaling and Family-Vicsek universality in $SU(N)$ quantum spin chains
Dynamic scaling and Family-Vicsek universality in $SU(N)$ quantum spin chains Open
The Family-Vicsek scaling is a fundamental framework for understanding surface growth in non-equilibrium classical systems, providing a universal description of temporal surface roughness evolution. While universal scaling laws are well es…
View article: Exact NESS of XXZ circuits boundary driven with arbitrary resets or fields
Exact NESS of XXZ circuits boundary driven with arbitrary resets or fields Open
We propose spatially inhomogeneous matrix product ansatz for an exact many-body density operator of a boundary driven XXZ quantum circuit. The ansatz has formally infinite bond-dimension and is fundamentally different from previous constru…
View article: Leading and beyond leading-order spectral form factor in chaotic quantum many-body systems across all Dyson symmetry classes
Leading and beyond leading-order spectral form factor in chaotic quantum many-body systems across all Dyson symmetry classes Open
We show the emergence of random matrix theory (RMT) spectral correlations in the chaotic phase of generic periodically kicked interacting quantum many-body systems by analytically calculating spectral form factor (SFF), $K(t)$, up to two l…
View article: Fluctuations of stochastic charged cellular automata
Fluctuations of stochastic charged cellular automata Open
We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon collision by identifying the problem as a colored stochastic…
View article: Integrability of open boundary driven quantum circuits
Integrability of open boundary driven quantum circuits Open
In this paper, we address the problem of Yang-Baxter integrability of doubled quantum circuit of qubits (spins 1/2) with open boundary conditions where the two circuit replicas are only coupled at the left or right boundary. We investigate…
View article: Local integrability breaking and exponential localization of leading Lyapunov vectors
Local integrability breaking and exponential localization of leading Lyapunov vectors Open
We study integrability breaking and transport in a discrete space-time lattice with a local integrability breaking perturbation. We find a singular distribution of the Lyapunov spectrum where the majority of Lyapunov exponents vanish in th…
View article: Boundary chaos: Spectral form factor
Boundary chaos: Spectral form factor Open
Random matrix spectral correlations is a defining feature of quantum chaos. Here, we study such correlations in a minimal model of chaotic many-body quantum dynamics where interactions are confined to the system’s boundary, dubbed , in ter…
View article: Integrable fishnet circuits and Brownian solitons
Integrable fishnet circuits and Brownian solitons Open
We introduce classical many-body dynamics on a one-dimensional lattice comprising local two-body maps arranged on discrete space-time mesh that serve as discretizations of Hamiltonian dynamics with arbitrarily time-varying coupling constan…
View article: Loss-Induced Quantum Information Jet in an Infinite Temperature Hubbard Chain
Loss-Induced Quantum Information Jet in an Infinite Temperature Hubbard Chain Open
Information propagation in the one-dimensional infinite temperature Hubbard model with a dissipative particle sink at the end of a semi-infinite chain is studied. In the strongly interacting limit, the two-site mutual information and the o…
View article: Quantum Many-Body Spin Ratchets
Quantum Many-Body Spin Ratchets Open
Introducing a class of SU(2) invariant quantum unitary circuits generating chiral transport, we examine the role of broken space-reflection and time-reversal symmetries on spin-transport properties. Upon adjusting parameters of local unita…
View article: Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains
Efficient computation of cumulant evolution and full counting statistics: application to infinite temperature quantum spin chains Open
We propose a numerical method to efficiently compute quantum generating functions (QGF) for a wide class of observables in one-dimensional quantum systems at high temperature. We obtain high-accuracy estimates for the cumulants and reconst…
View article: Microcanonical Free Cumulants in lattice systems
Microcanonical Free Cumulants in lattice systems Open
Recently, the full version of the Eigenstate Thermalization Hypothesis (ETH) has been systematized using Free Probability. In this paper, we present a detailed discussion of the Free Cumulants approach to many-body dynamics within the micr…
View article: Structural stability hypothesis of dual unitary quantum chaos
Structural stability hypothesis of dual unitary quantum chaos Open
Having spectral correlations that, over small enough energy scales, are described by random matrix theory is regarded as the most general defining feature of quantum chaotic systems as it applies in the many-body setting and away from any …
View article: Quantum Chaos and Coherence: Random Parametric Quantum Channels
Quantum Chaos and Coherence: Random Parametric Quantum Channels Open
The survival probability of an initial Coherent Gibbs State (CGS) is a natural extension of the Spectral Form Factor (SFF) to open quantum systems. To quantify the interplay between quantum chaos and decoherence away from the semi-classica…
View article: Bethe-ansatz diagonalization of steady state of boundary driven integrable spin chains
Bethe-ansatz diagonalization of steady state of boundary driven integrable spin chains Open
We find that the density operator of non-equilibrium steady state (NESS) of XXZ spin chain with strong ``sink and source" boundary dissipation, can be described in terms of quasiparticles, with renormalized -- dissipatively dressed -- disp…
View article: Symmetry classes of classical stochastic processes
Symmetry classes of classical stochastic processes Open
We perform a systematic symmetry classification of the Markov generators of classical stochastic processes. Our classification scheme is based on the action of involutive symmetry transformations of a real Markov generator, extending the B…
View article: Integrability of open boundary driven quantum circuits
Integrability of open boundary driven quantum circuits Open
In this paper, we address the problem of Yang-Baxter integrability of doubled quantum circuit of qubits (spins 1/2) with open boundary conditions where the two circuit replicas are only coupled at the left or right boundary. We investigate…
View article: Quantum many-body spin ratchets
Quantum many-body spin ratchets Open
Introducing a class of SU(2) invariant quantum unitary circuits generating chiral transport, we examine the role of broken space-reflection and time-reversal symmetries on spin transport properties. Upon adjusting parameters of local unita…
View article: Spectral form factor in chaotic, localized, and integrable open quantum many-body systems
Spectral form factor in chaotic, localized, and integrable open quantum many-body systems Open
We numerically study the spectral statistics of open quantum many-body systems (OQMBS) as signatures of quantum chaos (or the lack thereof), using the dissipative spectral form factor (DSFF), a generalization of the spectral form factor to…
View article: Integrability of Goldilocks quantum cellular automata
Integrability of Goldilocks quantum cellular automata Open
Goldilocks quantum cellular automata (QCA) have been simulated on quantum hardware and produce emergent small-world correlation networks. In Goldilocks QCA, a single-qubit unitary is applied to each qubit in a one-dimensional chain subject…
View article: Universal anomalous fluctuations in charged single-file systems
Universal anomalous fluctuations in charged single-file systems Open
Introducing a general class of one-dimensional single-file systems (meaning that particle crossings are prohibited) of interacting hardcore particles with internal degrees of freedom (called charge), we exhibit a dynamical universality ref…
View article: Localized Dynamics in the Floquet Quantum East Model
Localized Dynamics in the Floquet Quantum East Model Open
We introduce and study the discrete-time version of the quantum East model, an interacting quantum spin chain inspired by simple kinetically constrained models of classical glasses. Previous work has established that its continuous-time co…