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Quantum slow relaxation and metastability due to dynamical constraints (2018)
Journal Article
Lan, Z., van Horssen, M., Powell, S., & Garrahan, J. P. (2018). Quantum slow relaxation and metastability due to dynamical constraints. Physical Review Letters, 121(4), 1-6. https://doi.org/10.1103/PhysRevLett.121.040603

One of the general mechanisms that give rise to the slow cooperative relaxation characteristic of classical glasses is the presence of kinetic constraints in the dynamics. Here we show that dynamical constraints can similarly lead to slow thermalisat... Read More about Quantum slow relaxation and metastability due to dynamical constraints.

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.

Open quantum generalisation of Hopfield neural networks (2018)
Journal Article
Rotondo, P., Marcuzzi, M., Garrahan, J. P., Lesanovsky, I., & Müller, M. (2018). Open quantum generalisation of Hopfield neural networks. Journal of Physics A: Mathematical and Theoretical, 51(11), Article 115301. https://doi.org/10.1088/1751-8121/aaabcb

We propose a new framework to understand how quantum effects may impact on the dynamics of neural networks. We implement the dynamics of neural networks in terms of Markovian open quantum systems, which allows us to treat thermal and quantum coherent... Read More about Open quantum generalisation of Hopfield neural networks.

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.

Study of the upper-critical dimension of the East model through the breakdown of the Stokes-Einstein relation (2017)
Journal Article
Jung, Y., Kim, S., Thorpe, D. G., Noh, C., Garrahan, J. P., & Chandler, D. (2017). Study of the upper-critical dimension of the East model through the breakdown of the Stokes-Einstein relation. Journal of Chemical Physics, 147(8), https://doi.org/10.1063/1.4999791

© 2017 Author(s). We investigate the dimensional dependence of dynamical fluctuations related to dynamic heterogeneity in supercooled liquid systems using kinetically constrained models. The d-dimensional spin-facilitated East model with embedded pro... Read More about Study of the upper-critical dimension of the East model through the breakdown of the Stokes-Einstein relation.

Experimental Determination of Dynamical Lee-Yang Zeros (2017)
Journal Article
Brandner, K., Maisi, V. F., Pekola, J. P., Garrahan, J. P., & Flindt, C. (2017). Experimental Determination of Dynamical Lee-Yang Zeros. Physical Review Letters, 118(18), Article 180601. https://doi.org/10.1103/physrevlett.118.180601

Statistical physics provides the concepts and methods to explain the phase behavior of interacting many-body systems. Investigations of Lee-Yang zeros - complex singularities of the free energy in systems of finite size - have led to a unified unders... Read More about Experimental Determination of Dynamical Lee-Yang Zeros.

Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables (2017)
Journal Article
Garrahan, J. P. (2017). Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables. Physical Review E, 95(3), Article 032134. https://doi.org/10.1103/physreve.95.032134

Recent large deviation results have provided general lower bounds for the fluctuations of time-integrated currents in the steady state of stochastic systems. A corollary are so-called thermodynamic uncertainty relations connecting precision of estima... Read More about Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables.

Role of interactions in a dissipative many-body localized system (2017)
Journal Article
Everest, B., Lesanovsky, I., Garrahan, J. P., & Levi, E. (2017). Role of interactions in a dissipative many-body localized system. Physical Review B, 95(2), https://doi.org/10.1103/PhysRevB.95.024310

Recent experimental and theoretical efforts have focused on the effect of dissipation on quantum many-body systems in their many-body localized (MBL) phase. While in the presence of dephasing noise such systems reach a unique ergodic state, their dyn... Read More about Role of interactions in a dissipative many-body localized system.

Emergent kinetic constraints, ergodicity breaking, and cooperative dynamics in noisy quantum systems (2016)
Journal Article
Everest, B., Marcuzzi, M., Garrahan, J. P., & Lesanovsky, I. (2016). Emergent kinetic constraints, ergodicity breaking, and cooperative dynamics in noisy quantum systems. Physical Review E, 94(5), Article 052108. https://doi.org/10.1103/physreve.94.052108

Kinetically constrained spin systems play an important role in understanding key properties of the dynamics of slowly relaxing materials, such as glasses. Recent experimental studies have revealed that manifest kinetic constraints govern the evolutio... Read More about Emergent kinetic constraints, ergodicity breaking, and cooperative dynamics in noisy quantum systems.

Applicability of dynamic facilitation theory to binary hard disk systems (2016)
Journal Article
Isobe, M., Keys, A. S., Chandler, D., & Garrahan, J. P. (2016). Applicability of dynamic facilitation theory to binary hard disk systems. Physical Review Letters, 117(14), Article 145701. https://doi.org/10.1103/PhysRevLett.117.145701

We numerically investigate the applicability of dynamic facilitation (DF) theory for glass-forming binary hard disk systems where supercompression is controlled by pressure. By using novel efficient algorithms for hard disks, we are able to generate... Read More about Applicability of dynamic facilitation theory to binary hard disk systems.

Classical stochastic dynamics and continuous matrix product states: gauge transformations, conditioned and driven processes, and equivalence of trajectory ensembles (2016)
Journal Article
Garrahan, J. P. (2016). Classical stochastic dynamics and continuous matrix product states: gauge transformations, conditioned and driven processes, and equivalence of trajectory ensembles. Journal of Statistical Mechanics: Theory and Experiment, 2016(7), Article 073208. https://doi.org/10.1088/1742-5468/2016/07/073208

Borrowing ideas from open quantum systems, we describe a formalism to encode ensembles of trajectories of classical stochastic dynamics in terms of continuous matrix product states (cMPSs). We show how to define in this approach 'biased' or 'conditio... Read More about Classical stochastic dynamics and continuous matrix product states: gauge transformations, conditioned and driven processes, and equivalence of trajectory ensembles.

Signatures of many-body localisation in a system without disorder and the relation to a glass transition (2016)
Journal Article
Hickey, J. M., Genway, S., & Garrahan, J. P. (2016). Signatures of many-body localisation in a system without disorder and the relation to a glass transition. Journal of Statistical Mechanics: Theory and Experiment, 2016(5), https://doi.org/10.1088/1742-5468/2016/05/054047

We study a quantum spin system—adapted from a facilitated spin model for classical glasses—with local bilinear interactions and without quenched disorder which seems to display characteristic signatures of a many-body localisation (MBL) transition. F... Read More about Signatures of many-body localisation in a system without disorder and the relation to a glass transition.

Experimental observation of controllable kinetic constraints in a cold atomic gas (2016)
Journal Article
Valado, M., Simonelli, C., Hoogerland, M., Lesanovsky, I., Garrahan, J. P., Arimondo, E., …Morsch, O. (2016). Experimental observation of controllable kinetic constraints in a cold atomic gas. Physical Review A, 93(4), Article 040701. https://doi.org/10.1103/PhysRevA.93.040701

Many-body systems relaxing to equilibrium can exhibit complex dynamics even if their steady state is trivial. In situations where relaxation requires highly constrained local particle rearrangements, such as in glassy systems, this dynamics can be di... Read More about Experimental observation of controllable kinetic constraints in a cold atomic gas.

Emergence of cooperative dynamics in fully packed classical dimers (2016)
Journal Article
Oakes, T., Garrahan, J. P., & Powell, S. (2016). Emergence of cooperative dynamics in fully packed classical dimers. Physical Review E, 93(3), Article 032129. https://doi.org/10.1103/PhysRevE.93.032129

We study the behavior of classical dimer coverings of the square lattice—a paradigmatic model for systems subject to constraints—evolving under local stochastic dynamics, by means of Monte Carlo simulations and theoretical arguments. We observe clear... Read More about Emergence of cooperative dynamics in fully packed classical dimers.

Phase transition for quenched coupled replicas in a plaquette spin model of glasses (2016)
Journal Article
Jack, R. L., & Garrahan, J. P. (2016). Phase transition for quenched coupled replicas in a plaquette spin model of glasses. Physical Review Letters, 116(5), Article 055702. https://doi.org/10.1103/PhysRevLett.116.055702

We study a three-dimensional plaquette spin model whose low temperature dynamics is glassy, due to localized defects and effective kinetic constraints. The thermodynamics of this system is smooth at all temperatures. We show that coupling it to a sec... Read More about Phase transition for quenched coupled replicas in a plaquette spin model of glasses.

Emergent Rhombus Tilings from Molecular Interactions with M-fold Rotational Symmetry (2015)
Journal Article
Whitelam, S., Tamblyn, I., Garrahan, J. P., & Beton, P. H. (2015). Emergent Rhombus Tilings from Molecular Interactions with M-fold Rotational Symmetry. Physical Review Letters, 114(11), Article 115702. https://doi.org/10.1103/PhysRevLett.114.115702

© 2015 American Physical Society. We show that model molecules with particular rotational symmetries can self-assemble into network structures equivalent to rhombus tilings. This assembly happens in an emergent way, in the sense that molecules sponta... Read More about Emergent Rhombus Tilings from Molecular Interactions with M-fold Rotational Symmetry.

Spatial complementarity and the coexistence of species (2014)
Journal Article
Velázquez, J., Garrahan, J. P., & Eichhorn, M. P. (2014). Spatial complementarity and the coexistence of species. PLoS ONE, 9(12), Article e114979. https://doi.org/10.1371/journal.pone.0114979

© 2014 Velázquez et al. Coexistence of apparently similar species remains an enduring paradox in ecology. Spatial structure has been predicted to enable coexistence even when population-level models predict competitive exclusion if it causes each spe... Read More about Spatial complementarity and the coexistence of species.