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Topological phases in the dynamics of the simple exclusion process (2024)
Journal Article
Garrahan, J. P., & Pollmann, F. (2024). Topological phases in the dynamics of the simple exclusion process. Physical Review E, 109(3), Article L032105. https://doi.org/10.1103/PhysRevE.109.L032105

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
Causer, L., Sfairopoulos, K., Mair, J. F., & Garrahan, J. P. (2024). Rejection-free quantum Monte Carlo in continuous time from transition path sampling. Physical Review B, 109(2), Article 024307. https://doi.org/10.1103/physrevb.109.024307

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
Perfetto, G., Carollo, F., Garrahan, J. P., & Lesanovsky, I. (2023). Quantum reaction-limited reaction-diffusion dynamics of annihilation processes. Physical Review E, 108(6), Article 064104. https://doi.org/10.1103/physreve.108.064104

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
Bakewell-Smith, G., Girotti, F., Guţǎ, M., & Garrahan, J. P. (2023). General upper bounds on fluctuations of trajectory observables. Physical Review Letters, 131(19), Article 197101. https://doi.org/10.1103/PhysRevLett.131.197101

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
Geißler, A., & Garrahan, J. P. (2023). Slow dynamics and nonergodicity of the bosonic quantum East model in the semiclassical limit. Physical Review E, 108(3), Article 034207. https://doi.org/10.1103/PhysRevE.108.034207

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
Zadnik, L., & Garrahan, J. P. (2023). Slow heterogeneous relaxation due to constraints in dual XXZ models. Physical Review B, 108(10), Article L100304. https://doi.org/10.1103/PhysRevB.108.L100304

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
Perfetto, G., Carollo, F., Garrahan, J. P., & Lesanovsky, I. (2023). Reaction-Limited Quantum Reaction-Diffusion Dynamics. Physical Review Letters, 130(21), Article 210402. https://doi.org/10.1103/PhysRevLett.130.210402

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.

Optimal Sampling of Dynamical Large Deviations in Two Dimensions via Tensor Networks (2023)
Journal Article
Causer, L., Bañuls, M. C., & Garrahan, J. P. (2023). Optimal Sampling of Dynamical Large Deviations in Two Dimensions via Tensor Networks. Physical Review Letters, 130(14), Article 147401. https://doi.org/10.1103/PhysRevLett.130.147401

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
Girotti, F., Garrahan, J. P., & Guţă, M. (2023). Concentration Inequalities for Output Statistics of Quantum Markov Processes. Annales Henri Poincaré, https://doi.org/10.1007/s00023-023-01286-1

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
Garrahan, J. P., & Ritort, F. (2023). Generalized continuous Maxwell demons. Physical Review E, 107(3), Article 034101. https://doi.org/10.1103/physreve.107.034101

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.