73 citations · 358 across the 24 of their papers we have counts for
24 papers
Local and quasilocal conservation laws of three-state IRF cellular automata and their quantum deformations
Tomaž Prosen
Using patch-matrix-product methods, we study two reversible three-state interaction-round-a-face cellular automata introduced by Klobas and Prosen [J. Phys. A 55, 094003 (2022)] -…
Observable Estimation in the Absence of Classical Verification
Samantha V. Barron, Bradley Mitchell, Vinay Tripathi +45
The predictive success of quantum mechanics underpins many areas of modern science, even as the exact simulation of large, interacting quantum systems remains beyond the reach of c…
On the integrability structure of the deformed rule-54 reversible cellular automaton
Chiara Paletta, Tomaž Prosen
We study quantum and stochastic deformations of the rule-54 reversible cellular automaton (RCA54) on a 1+1-dimensional spatiotemporal lattice, focusing on their integrability struc…
Loop Charges and Fragmentation in Pairwise Difference Conserving Circuits
Pavel Orlov, Cheryne Jonay, Tomaž Prosen
In this work, we introduce a broad class of circuits, or quantum cellular automata, which we call 'pairwise-difference-conserving circuits' (PDC). These models are characterized by…
Phase transition from localization to chaos in classical many-body system
Yusuf Kasim, Pavel Orlov, Tomaž Prosen
We report a dynamical phase transition in the information spreading within a classical 2D deterministic interacting many-body system. Specifically, the transition is observed in a…
Leading and beyond leading-order spectral form factor in chaotic quantum many-body systems across all Dyson symmetry classes
Vijay Kumar, Tomaž Prosen, Dibyendu Roy
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…
Local integrability breaking and exponential localization of leading Lyapunov vectors
Jiaozi Wang, Tomaž Prosen, Giulio Casati
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 spe…
Deterministic many-body dynamics with multifractal response
Yusuf Kasim, Tomaž Prosen
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 no…
Microcanonical Free Cumulants in lattice systems
Felix Fritzsch, Tomaž Prosen, Silvia Pappalardi
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 Fr…
Symmetry classes of classical stochastic processes
Lucas Sá, Pedro Ribeiro, Tomaž Prosen +1
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…
Quantum many-body spin ratchets
Lenart Zadnik, Marko Ljubotina, Žiga Krajnik +2
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 tra…
Integrability of Goldilocks quantum cellular automata
Logan E. Hillberry, Lorenzo Piroli, Eric Vernier +3
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…
Structural Stability Hypothesis of Dual Unitary Quantum Chaos
Jonathon Riddell, Curt von Keyserlingk, Tomaž Prosen +1
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 system…
Quantum Chaos and Coherence: Random Parametric Quantum Channels
Apollonas S. Matsoukas-Roubeas, Tomaž Prosen, Adolfo del Campo
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 betwee…
Full Eigenstate Thermalization via Free Cumulants in Quantum Lattice Systems
Silvia Pappalardi, Felix Fritzsch, Tomaž Prosen
The Eigenstate-Thermalization-Hypothesis (ETH) has been established as the general framework to understand quantum statistical mechanics. Only recently has the attention been paid…
Boundary Chaos: Exact Entanglement Dynamics
Felix Fritzsch, Roopayan Ghosh, Tomaž Prosen
We compute the dynamics of entanglement in the minimal setup producing ergodic and mixing quantum many-body dynamics, which we previously dubbed {\em boundary chaos}. This consists…
Symmetry Classification of Many-Body Lindbladians: Tenfold Way and Beyond
Lucas Sá, Pedro Ribeiro, Tomaž Prosen
We perform a systematic symmetry classification of many-body Lindblad superoperators describing general (interacting) open quantum systems coupled to a Markovian environment. Our c…
Spectral and steady-state properties of fermionic random quadratic Liouvillians
João Costa, Pedro Ribeiro, Andrea de Luca +2
We study spectral and steady-state properties of generic Markovian dissipative systems described by quadratic fermionic Liouvillian operators of the Lindblad form. The Hamiltonian…
Lindbladian dissipation of strongly-correlated quantum matter
Lucas Sá, Pedro Ribeiro, Tomaž Prosen
We propose the Sachdev-Ye-Kitaev Lindbladian as a paradigmatic solvable model of dissipative many-body quantum chaos. It describes strongly coupled Majorana fermions with rando…
Boundary Chaos
Felix Fritzsch, Tomaž Prosen
Scrambling in many-body quantum systems causes initially local observables to spread uniformly over the whole available Hilbert space under unitary dynamics, which in lattice syste…
Absence of thermalization of free systems coupled to gapped interacting reservoirs
Marko Ljubotina, Dibyendu Roy, Tomaž Prosen
We study the thermalization of a small chain coupled to long, gapped leads at either side by observing the relaxation dynamics of the whole system. Using extensive tenso…
Kardar-Parisi-Zhang physics in integrable rotationally symmetric dynamics on discrete space-time lattice
Ziga Krajnik, Tomaz Prosen
We introduce a deterministic SO(3) invariant dynamics of classical spins on a discrete space-time lattice and prove its complete integrability by explicitly finding a related non-c…
Eigenvalue statistics of reduced density matrix during driving and relaxation
M. Mierzejewski, T. Prosen, D. Crivelli +1
We study a subsystem of an isolated one-dimensional correlated metal when it is driven by a steady electric field or when it relaxes after driving. We obtain numerically exact redu…
Quantization of a billiard model for interacting particles
Thomas Papenbrock, Tomaz Prosen
We consider a billiard model of a self-bound, interacting three-body system in two spatial dimensions. Numerical studies show that the classical dynamics is chaotic. The correspond…