All Outputs (89)

Combining Reinforcement Learning and Tensor Networks, with an Application to Dynamical Large Deviations (2024)
Journal Article

We present a framework to integrate tensor network (TN) methods with reinforcement learning (RL) for solving dynamical optimization tasks. We consider the RL actor-critic method, a model-free approach for solving RL problems, and introduce TNs as the... Read More about Combining Reinforcement Learning and Tensor Networks, with an Application to Dynamical Large Deviations.

Universal and nonuniversal probability laws in Markovian open quantum dynamics subject to generalized reset processes (2024)
Journal Article

We consider quantum-jump trajectories of Markovian open quantum systems subject to stochastic in time resets of their state to an initial configuration. The reset events provide a partitioning of quantum trajectories into consecutive time intervals,... Read More about Universal and nonuniversal probability laws in Markovian open quantum dynamics subject to generalized reset processes.

Topological phases in the dynamics of the simple exclusion process (2024)
Journal Article

We study the dynamical large deviations of the classical stochastic symmetric simple exclusion process (SSEP) by means of numerical matrix product states. We show that for half-filling, long-time trajectories with a large enough imbalance between the... Read More about Topological phases in the dynamics of the simple exclusion process.

Rejection-free quantum Monte Carlo in continuous time from transition path sampling (2024)
Journal Article

Continuous-time quantum Monte Carlo refers to a class of algorithms designed to sample the thermal distribution of a quantum Hamiltonian through exact expansions of the Boltzmann exponential in terms of stochastic trajectories which are periodic in i... Read More about Rejection-free quantum Monte Carlo in continuous time from transition path sampling.

Quantum reaction-limited reaction-diffusion dynamics of annihilation processes (2023)
Journal Article

We investigate the quantum reaction-diffusion dynamics of fermionic particles which coherently hop in a one-dimensional lattice and undergo annihilation reactions. The latter are modelled as dissipative processes which involve losses of pairs 2A→∅, t... Read More about Quantum reaction-limited reaction-diffusion dynamics of annihilation processes.

General upper bounds on fluctuations of trajectory observables (2023)
Journal Article

Thermodynamic uncertainty relations (TURs) are general lower bounds on the size of fluctuations of dynamical observables. They have important consequences, one being that the precision of estimation of a current is limited by the amount of entropy pr... Read More about General upper bounds on fluctuations of trajectory observables.

Slow dynamics and nonergodicity of the bosonic quantum East model in the semiclassical limit (2023)
Journal Article

We study the unitary dynamics of the bosonic quantum East model, a kinetically constrained lattice model which generalizes the quantum East model to arbitrary occupation per site. We consider the semiclassical limit of large (but finite) site occupan... Read More about Slow dynamics and nonergodicity of the bosonic quantum East model in the semiclassical limit.

Slow heterogeneous relaxation due to constraints in dual XXZ models (2023)
Journal Article

With the aim to understand the role of the constraints in the thermalization of quantum systems, we study the dynamics of a family of kinetically constrained models arising through duality from the XXZ spin chain. We find that integrable and noninteg... Read More about Slow heterogeneous relaxation due to constraints in dual XXZ models.

Reaction-Limited Quantum Reaction-Diffusion Dynamics (2023)
Journal Article

We consider the quantum nonequilibrium dynamics of systems where fermionic particles coherently hop on a one-dimensional lattice and are subject to dissipative processes analogous to those of classical reaction-diffusion models. Particles can either... Read More about Reaction-Limited Quantum Reaction-Diffusion Dynamics.

Stochastic strong zero modes and their dynamical manifestations (2023)
Journal Article

Strong zero modes (SZMs) are conserved operators localized at the edges of certain quantum spin chains, which give rise to long coherence times of edge spins. Here we define and analyze analogous operators in one-dimensional classical stochastic syst... Read More about Stochastic strong zero modes and their dynamical manifestations.

Optimal Sampling of Dynamical Large Deviations in Two Dimensions via Tensor Networks (2023)
Journal Article

We use projected entangled-pair states (PEPS) to calculate the large deviation statistics of the dynamical activity of the two-dimensional East model, and the two-dimensional symmetric simple exclusion process (SSEP) with open boundaries, in lattices... Read More about Optimal Sampling of Dynamical Large Deviations in Two Dimensions via Tensor Networks.

Concentration Inequalities for Output Statistics of Quantum Markov Processes (2023)
Journal Article

We derive new concentration bounds for time averages of measurement outcomes in quantum Markov processes. This generalizes well-known bounds for classical Markov chains, which provide constraints on finite-time fluctuations of time-additive quantitie... Read More about Concentration Inequalities for Output Statistics of Quantum Markov Processes.

Generalized continuous Maxwell demons (2023)
Journal Article

We introduce a family of generalized continuous Maxwell demons (GCMDs) operating on idealized single-bit equilibrium devices that combine the single-measurement Szilard and the repeated measurements of the continuous Maxwell demon protocols. We deriv... Read More about Generalized continuous Maxwell demons.

Anderson and many-body localization in the presence of spatially correlated classical noise (2022)
Journal Article

We study the effect of spatially correlated classical noise on both Anderson and many-body localization of a disordered fermionic chain. By analyzing the evolution of the particle density imbalance following a quench from an initial charge density wa... Read More about Anderson and many-body localization in the presence of spatially correlated classical noise.

Slow dynamics and large deviations in classical stochastic Fredkin chains (2022)
Journal Article

The Fredkin spin chain serves as an interesting theoretical example of a quantum Hamiltonian whose ground state exhibits a phase transition between three distinct phases, one of which violates the area law. Here we consider a classical stochastic ver... Read More about Slow dynamics and large deviations in classical stochastic Fredkin chains.

Random matrix theory for quantum and classical metastability in local Liouvillians (2022)
Journal Article

We consider the effects of strong dissipation in quantum systems with a notion of locality, which induces a hierarchy of many-body relaxation timescales as shown in [Phys. Rev. Lett. 124, 100604 (2020)]. If the strength of the dissipation varies stro... Read More about Random matrix theory for quantum and classical metastability in local Liouvillians.

Hierarchical classical metastability in an open quantum East model (2022)
Journal Article

We study in detail an open quantum generalization of a classical kinetically constrained model - the East model - known to exhibit slow glassy dynamics stemming from a complex hierarchy of metastable states with distinct lifetimes. Using the recently... Read More about Hierarchical classical metastability in an open quantum East model.

Exact solution of the "rule 150" reversible cellular automaton (2022)
Journal Article

We study the dynamics and statistics of the Rule 150 reversible cellular automaton (RCA). This is a one-dimensional lattice system of binary variables with synchronous (Floquet) dynamics that corresponds to a bulk deterministic and reversible discret... Read More about Exact solution of the "rule 150" reversible cellular automaton.

Finite Time Large Deviations via Matrix Product States (2022)
Journal Article

Recent work has shown the effectiveness of tensor network methods for computing large deviation functions in constrained stochastic models in the infinite time limit. Here we show that these methods can also be used to study the statistics of dynamic... Read More about Finite Time Large Deviations via Matrix Product States.

Finite time large deviations via matrix product states (2022)
Journal Article

Recent work has shown the effectiveness of tensor network methods for computing large deviation functions in constrained stochastic models in the infinite time limit. Here we show that these methods can also be used to study the statistics of dynamic... Read More about Finite time large deviations via matrix product states.