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We propose a general formalism, within large deviation theory, giving access to the exact statistics of fluctuations of ballistically transported conserved quantities in homogeneous, stationary states.
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2013
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M. Spillane and C. P. Herzog, “Relativistic Hydrodynamics and Non-Equilibrium Steady States”, J. Stat. Mech. Theory Exp
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2016
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F. Carollo, J. P. Garrahan, I. Lesanovsky, and C. Pérez-Espigares, “Fluctuating Hydrodynamics, Current Fluctuations, and Hyperuniformity in Boundary-Driven Open Quantum Chains,” Phys. Rev. E
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B. Doyon, “Thermalization and Pseudolocality in Extended Quantum Systems,” Comm. Math. Phys
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2017
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N. Tizón-Escamilla, C. Pérez-Espigares, P. L. Garrido and P. I. Hurtado, “Order and Symmetry-Breaking in the Fluctuations of Driven Systems,” Phys. Rev. Lett
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A. Lazarescu, “Generic dynamical phase transition in one-dimensional bulk-driven lattice gases with exclusion,” J. Phys.A: Math. Theor
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B. Doyon and T. Yoshimura, “A Note on Generalized Hydrodynamics: Inhomogeneous Fields and Other Concepts”, SciPost Phys
2017
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E. Ilievski, E. Quinn, J.-S. Caux, “From Interacting Particles to Equilibrium Statistical Ensembles”, Phys. Rev. B
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V. Alba and P. Calabrese, Entanglement and thermodynamics after a quantum quench in integrable systems, PNAS
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V. Alba and P. Calabrese, “Quench Action and Rényi Entropies in Integrable Systems,” Phys. Rev
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V. Alba and P. Calabrese, “Rényi Entropies After Releasing the Néel State in the XXZ Spin-Chain,” J. Stat. Mech
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L. Piroli, J. De Nardis, M. Collura, B. Bertini and M. Fagotti, “Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions”, Phys. Rev. B
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T. Yoshimura, “Full Counting Statistics in the Free Dirac Theory”, J. Phys. A
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2018
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F. Carollo, J. P. Garrahan, I. Lesanovsky and C. Pérez-Espigares, “Making Rare Events Typical in Markovian Open Quantum Systems,” Phys. Rev. A
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H. Spohn, “Interacting and Noninteracting Integrable Systems,” J. Math. Phys
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Z. Chen, J. de Gier, I. Hiki and T. Sasamoto, “Exact Confirmation of 1D Nonlinear Fluctuating Hydrodynamics for a Two-Species Exclusion Process,” Phys. Rev. Lett
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J. De Nardis, D. Bernard and B. Doyon, “Hydrodynamic Diffusion in Integrable Systems”, Phys. Rev. Lett
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2018
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B. Doyon, “Exact Large-Scale Correlations in Integrable Systems Out of Equilibrium,” SciPost Phys
2018
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O. A. Castro-Alvaredo, B. Doyon and D. Fioravanti, “Conical Twist Fields and Null Polygonal Wilson Loops”, Nucl. Phys. B
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V. Alba and P. Calabrese, Entanglement dynamics after quantum quenches in generic integrable systems, SciPost Phys
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2018
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