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Theory of classical metastability in open quantum systems (2021)
Journal Article
Macieszczak, K., Rose, D. C., Lesanovsky, I., & Garrahan, J. P. (2021). Theory of classical metastability in open quantum systems. Physical Review Research, 3(3), 1-26. https://doi.org/10.1103/PhysRevResearch.3.033047

We present a general theory of classical metastability in open quantum systems. Metastability is a consequence of a large separation in timescales in the dynamics, leading to the existence of a regime when states of the system appear stationary, befo... Read More about Theory of classical metastability in open quantum systems.

Large Deviations at Level 2.5 for Markovian Open Quantum Systems: Quantum Jumps and Quantum State Diffusion (2021)
Journal Article
Carollo, F., Garrahan, J. P., & Jack, R. L. (2021). Large Deviations at Level 2.5 for Markovian Open Quantum Systems: Quantum Jumps and Quantum State Diffusion. Journal of Statistical Physics, 184(1), Article 13. https://doi.org/10.1007/s10955-021-02799-x

We consider quantum stochastic processes and discuss a level 2.5 large deviation formalism providing an explicit and complete characterisation of fluctuations of time-averaged quantities, in the large-time limit. We analyse two classes of quantum sto... Read More about Large Deviations at Level 2.5 for Markovian Open Quantum Systems: Quantum Jumps and Quantum State Diffusion.

Symmetry-induced fluctuation relations in open quantum systems (2021)
Journal Article
Marcantoni, S., Pérez-Espigares, C., & Garrahan, J. P. (2021). Symmetry-induced fluctuation relations in open quantum systems. Physical Review E, 104(1), Article 014108. https://doi.org/10.1103/physreve.104.014108

We derive a general scheme to obtain quantum fluctuation relations for dynamical observables in open quantum systems. For concreteness, we consider Markovian nonunitary dynamics that is unraveled in terms of quantum jump trajectories and exploit tech... Read More about Symmetry-induced fluctuation relations in open quantum systems.

Optimal sampling of dynamical large deviations via matrix product states (2021)
Journal Article
Causer, L., Bañuls, M. C., & Garrahan, J. P. (2021). Optimal sampling of dynamical large deviations via matrix product states. Physical Review E, 103(6), Article 062144. https://doi.org/10.1103/PhysRevE.103.062144

The large deviation statistics of dynamical observables is encoded in the spectral properties of deformed Markov generators. Recent works have shown that tensor network methods are well suited to compute accurately the relevant leading eigenvalues an... Read More about Optimal sampling of dynamical large deviations via matrix product states.

A reinforcement learning approach to rare trajectory sampling (2021)
Journal Article
Rose, D. C., Mair, J. F., & Garrahan, J. P. (2021). A reinforcement learning approach to rare trajectory sampling. New Journal of Physics, 23, Article 013013. https://doi.org/10.1088/1367-2630/abd7bd

Very often when studying non-equilibrium systems one is interested in analysing dynamical behaviour that occurs with very low probability, so called rare events. In practice, since rare events are by definition atypical, they are often difficult to a... Read More about A reinforcement learning approach to rare trajectory sampling.

Exact solution of the Floquet-PXP cellular automaton (2020)
Journal Article
Wilkinson, J. W. P., Klobas, K., Prosen, T., & Garrahan, J. P. (2020). Exact solution of the Floquet-PXP cellular automaton. Physical Review E, 102(6), Article 062107. https://doi.org/10.1103/PhysRevE.102.062107

We study the dynamics of a bulk deterministic Floquet model, the Rule 201 synchronous one-dimensional reversible cellular automaton (RCA201). The system corresponds to a deterministic, reversible, and discrete version of the PXP model, whereby a site... Read More about Exact solution of the Floquet-PXP cellular automaton.

Symmetry-induced fluctuation relations for dynamical observables irrespective of their behavior under time reversal (2020)
Journal Article
Marcantoni, S., Pérez-Espigares, C., & Garrahan, J. P. (2020). Symmetry-induced fluctuation relations for dynamical observables irrespective of their behavior under time reversal. Physical Review E, 101(6), Article 062142. https://doi.org/10.1103/physreve.101.062142

We extend previous work to describe a class of fluctuation relations (FRs) that emerge as a consequence of symmetries at the level of stochastic trajectories in Markov chains. We prove that given such a symmetry, and for a suitable dynamical observab... Read More about Symmetry-induced fluctuation relations for dynamical observables irrespective of their behavior under time reversal.

Nonequilibrium Quantum Many-Body Rydberg Atom Engine (2020)
Journal Article
Carollo, F., Gambetta, F. M., Brandner, K., Garrahan, J. P., & Lesanovsky, I. (2020). Nonequilibrium Quantum Many-Body Rydberg Atom Engine. Physical Review Letters, 124(17), https://doi.org/10.1103/physrevlett.124.170602

The standard approach to quantum engines is based on equilibrium systems and on thermo-dynamic transformations between Gibbs states. However, non-equilibrium quantum systems offer enhanced experimental flexibility in the control of their parameters a... Read More about Nonequilibrium Quantum Many-Body Rydberg Atom Engine.

Classical stochastic discrete time crystals (2019)
Journal Article
Gambetta, F. M., Carollo, F., Lazarides, A., Lesanovsky, I., & Garrahan, J. P. (2019). Classical stochastic discrete time crystals. Physical Review E, 100(6), Article 060105(R). https://doi.org/10.1103/PhysRevE.100.060105

© 2019 American Physical Society. We describe a general and simple paradigm for discrete time crystals (DTCs), systems with a stable subharmonic response to an external driving field, in a classical thermal setting. We consider, specifically, an Isin... Read More about Classical stochastic discrete time crystals.

Using matrix product states to study the dynamical large deviations of kinetically constrained models (2019)
Journal Article
Bañuls, M. C., & Garrahan, J. P. (2019). Using matrix product states to study the dynamical large deviations of kinetically constrained models. Physical Review Letters, 123(20), Article 200601. https://doi.org/10.1103/PhysRevLett.123.200601

Here we demonstrate that tensor network techniques | originally devised for the analysis of quantum many-body problems | are well suited for the detailed study of rare event statistics in kinetically constrained models (KCMs). As concrete examples we... Read More about Using matrix product states to study the dynamical large deviations of kinetically constrained models.

Theory for Glassy Behavior of Supercooled Liquid Mixtures (2019)
Journal Article
Katira, S., Garrahan, J. P., & Mandadapu, K. K. (2019). Theory for Glassy Behavior of Supercooled Liquid Mixtures. Physical Review Letters, 123(10), 1-6. https://doi.org/10.1103/PhysRevLett.123.100602

We present a model for glassy dynamics in supercooled liquid mixtures. Given the relaxation behavior of individual supercooled liquids, the model predicts the relaxation times of their mixtures as temperature is decreased. The model is based on dynam... Read More about Theory for Glassy Behavior of Supercooled Liquid Mixtures.

Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton (2019)
Journal Article
Buča, B., Garrahan, J. P., Prosen, T., & Vanicat, M. (2019). Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton. Physical Review E, 100(2), 1-6. https://doi.org/10.1103/physreve.100.020103

We study the statistical properties of the long-time dynamics of the rule 54 reversible cellular automaton (CA), driven stochastically at its boundaries. This CA can be considered as a discrete-time and deterministic version of the Fredrickson-Anders... Read More about Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton.

Physical swap dynamics, shortcuts to relaxation, and entropy production in dissipative Rydberg gases (2019)
Journal Article
Gutiérrez, R., Garrahan, J. P., & Lesanovsky, I. (2019). Physical swap dynamics, shortcuts to relaxation, and entropy production in dissipative Rydberg gases. Physical Review E, 100(1), Article 012110. https://doi.org/10.1103/physreve.100.012110

Dense Rydberg gases are out-of-equilibrium systems where strong density-density interactions give rise to effective kinetic constraints. They cause dynamic arrest associated with highly constrained many-body configurations, leading to slow relaxation... Read More about Physical swap dynamics, shortcuts to relaxation, and entropy production in dissipative Rydberg gases.

Ordering, Flexibility and Frustration in Arrays of Porphyrin Nanorings (2019)
Journal Article
Summerfield, A., Baldoni, M., Kondratuk, D. V., Anderson, H. L., Whitelam, S., Garrahan, J. P., …Beton, P. H. (2019). Ordering, Flexibility and Frustration in Arrays of Porphyrin Nanorings. Nature Communications, 10, Article 2932. https://doi.org/10.1038/s41467-019-11009-y

The regular packing of atoms, molecules and nanoparticles provides the basis for the understanding of structural order within condensed phases of matter. Typically the constituent particles are considered to be rigid with a fixed shape. Here we show,... Read More about Ordering, Flexibility and Frustration in Arrays of Porphyrin Nanorings.

Localization in spin chains with facilitation constraints and disordered interactions (2019)
Journal Article
Ostmann, M., Marcuzzi, M., Garrahan, J. P., & Lesanovsky, I. (2019). Localization in spin chains with facilitation constraints and disordered interactions. Physical Review A, 99(6), 1-7. https://doi.org/10.1103/PhysRevA.99.060101

Quantum many-body systems with kinetic constraints exhibit intriguing relaxation dynamics. Recent experimental progress in the field of cold atomic gases offers a handle for probing collective behavior of such systems, in particular for understanding... Read More about Localization in spin chains with facilitation constraints and disordered interactions.

Coherence, entanglement, and quantumness in closed and open systems with conserved charge, with an application to many-body localization (2019)
Journal Article
Macieszczak, K., Levi, E., Macrì, T., Lesanovsky, I., & Garrahan, J. P. (2019). Coherence, entanglement, and quantumness in closed and open systems with conserved charge, with an application to many-body localization. Physical Review A, 99(5), Article 052354. https://doi.org/10.1103/physreva.99.052354

While the scaling of entanglement in a quantum system can be used to distinguish many-body quantum phases, it is usually hard to quantify the amount of entanglement in mixed states of open quantum systems, while measuring entanglement experimentally,... Read More about Coherence, entanglement, and quantumness in closed and open systems with conserved charge, with an application to many-body localization.

Singularities in large deviations of work in quantum quenches (2018)
Journal Article
Rotondo, P., Minář, J., Garrahan, J. P., Lesanovsky, I., & Marcuzzi, M. (2018). Singularities in large deviations of work in quantum quenches. Physical Review B, 98(18), Article 184303. https://doi.org/10.1103/physrevb.98.184303

We investigate large deviations of the work performed in a quantum quench across two different phases separated by a quantum critical point, using as an example the Dicke model quenched from its superradiant to its normal phase. We extract the distri... Read More about Singularities in large deviations of work in quantum quenches.

Unified Thermodynamic Uncertainty Relations in Linear Response (2018)
Journal Article
Macieszczak, K., Brandner, K., & Garrahan, J. P. (2018). Unified Thermodynamic Uncertainty Relations in Linear Response. Physical Review Letters, 121(13), https://doi.org/10.1103/physrevlett.121.130601

Thermodynamic uncertainty relations (TURs) are recently established relations between the relative uncertainty of time-integrated currents and entropy production in non-equilibrium systems. For small perturbations away from equilibrium, linear respon... Read More about Unified Thermodynamic Uncertainty Relations in Linear Response.

Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases (2018)
Journal Article
Pérez-Espigares, C., Lesanovsky, I., Garrahan, J. P., & Gutiérrez, R. (2018). Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases. Physical Review A, 98(2), https://doi.org/10.1103/physreva.98.021804

The physics of highly excited Rydberg atoms is governed by blockade or exclusion interactions that hinder the excitation of atoms in the proximity of a previously excited one. This leads to cooperative effects and a relaxation dynamics displaying spa... Read More about Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases.