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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.

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.

Matrix product state of multi-time correlations (2020)
Journal Article
Klobas, K., Vanicat, M., Garrahan, J. P., & Prosen, T. (2020). Matrix product state of multi-time correlations. Journal of Physics A: Mathematical and Theoretical, 53(33), Article 335001. https://doi.org/10.1088/1751-8121/ab8c62

For an interacting spatio-temporal lattice system we introduce a formal way of expressing multi-time correlation functions of local observables located at the same spatial point with a time state, i.e. a statistical distribution of configurations obs... Read More about Matrix product state of multi-time correlations.

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.

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.

Accelerated relaxation and suppressed dynamic heterogeneity in a kinetically constrained (East) model with swaps (2019)
Journal Article
Gutiérrez, R., Garrahan, J. P., & Jack, R. L. (2019). Accelerated relaxation and suppressed dynamic heterogeneity in a kinetically constrained (East) model with swaps. Journal of Statistical Mechanics: Theory and Experiment, 2019(9), Article 094006. https://doi.org/10.1088/1742-5468/ab39d8

We introduce a kinetically constrained spin model with a local softness parameter, such that spin flips can violate the kinetic constraint with an (annealed) site-dependent rate. We show that adding MC swap moves to this model can dramatically accele... Read More about Accelerated relaxation and suppressed dynamic heterogeneity in a kinetically constrained (East) model with swaps.

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.

Strong zero modes in a class of generalized Ising spin ladders with plaquette interactions (2019)
Journal Article
Vasiloiu, L. M., Carollo, F., Marcuzzi, M., & Garrahan, J. P. (2019). Strong zero modes in a class of generalized Ising spin ladders with plaquette interactions. Physical Review B, 100(2), Article 024309. https://doi.org/10.1103/physrevb.100.024309

© 2019 American Physical Society. We study a class of spin-1/2 quantum ladder models with generalized plaquette interactions in the presence of a transverse field. We show that in certain parameter regimes, these models have strong zero modes respons... Read More about Strong zero modes in a class of generalized Ising spin ladders with plaquette interactions.

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.

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.

Catching and reversing quantum jumps and thermodynamics of quantum trajectories (2018)
Journal Article
Garrahan, J. P., & Guta, M. (2018). Catching and reversing quantum jumps and thermodynamics of quantum trajectories. Physical Review A, 98(5), Article 052137. https://doi.org/10.1103/PhysRevA.98.052137

A recent experiment by Minev et. al [arXiv:1803.00545] demonstrated that in a dissipative (artificial) 3-level atom with strongly intermittent dynamics it is possible to " catch and reverse " a quantum jump " mid-flight " : by the conditional applica... Read More about Catching and reversing quantum jumps and thermodynamics of quantum trajectories.

Phases of quantum dimers from ensembles of classical stochastic trajectories (2018)
Journal Article
Oakes, T., Powell, S., Castelnovo, C., Lamacraft, A., & Garrahan, J. P. (2018). Phases of quantum dimers from ensembles of classical stochastic trajectories. Physical Review B, 98(6), Article 064302. https://doi.org/10.1103/PhysRevB.98.064302

We study the connection between the phase behaviour of quantum dimers and the dynamics of classical stochastic dimers. At the so-called Rokhsar–Kivelson (RK) point a quantum dimer Hamiltonian is equivalent to the Markov generator of the dynamics of c... Read More about Phases of quantum dimers from ensembles of classical stochastic trajectories.

Solvation in space-time: pre-transition effects in trajectory space (2018)
Journal Article
Katira, S., Garrahan, J. P., & Mandadapu, K. K. (2018). Solvation in space-time: pre-transition effects in trajectory space. Physical Review Letters, 120(26), https://doi.org/10.1103/PhysRevLett.120.260602

We demonstrate pre-transition effects in space--time in trajectories of systems in which the dynamics displays a first-order phase transition between distinct dynamical phases. These effects are analogous to those observed for thermodynamic first-ord... Read More about Solvation in space-time: pre-transition effects in trajectory space.

Rare behavior of growth processes via umbrella sampling of trajectories (2018)
Journal Article
Klymko, K., Geissler, P. L., Garrahan, J. P., & Whitelam, S. (2018). Rare behavior of growth processes via umbrella sampling of trajectories. Physical Review E, 97(3), https://doi.org/10.1103/PhysRevE.97.032123

We compute probability distributions of trajectory observables for reversible and irreversible growth processes. These results reveal a correspondence between reversible and irreversible processes, at particular points in parameter space, in terms of... Read More about Rare behavior of growth processes via umbrella sampling of trajectories.

Similarity of ensembles of trajectories of reversible and irreversible growth processes (2017)
Journal Article
Klymko, K., Garrahan, J. P., & Whitelam, S. (2017). Similarity of ensembles of trajectories of reversible and irreversible growth processes. Physical Review E, 96(4), Article 042126. https://doi.org/10.1103/PhysRevE.96.042126

Models of bacterial growth tend to be “irreversible,” allowing for the number of bacteria in a colony to increase but not to decrease. By contrast, models of molecular self- assembly are usually “reversible,” allowing for the addition and removal of... Read More about Similarity of ensembles of trajectories of reversible and irreversible growth processes.