, Exploring the Quantum: Atoms, Cavities, and Photons, 2013.
, Quantum dissipative systems, 2008.
Quantum computation and quantumstate engineering driven by dissipation, Nature Physics, vol.5, p.633, 2009. ,
Measurement-Induced Localization of an Ultracold Lattice Gas, Phys. Rev. Lett, vol.115, p.140402, 2015. ,
, Large Scale Dynamics of Interacting Particles, 1991.
Non-equilibrium steady states: fluctuations and large deviations of the density and of the current, J. Stat. Mech, p.7023, 2007. ,
, Macroscopic Fluctuation Theory, vol.87, p.593, 2015.
, A Kinetic View of Statistical Physics, 2010.
Non-equilibrium statistical mechanics: from a paradigmatic model to biological transport, Rep. Prog. Phys, vol.74, p.116601, 2011. ,
Growing interfaces uncover universal fluctuations behind scale invariance, Sci. Rep, vol.1, p.11, 2011. ,
A pedestrian's view on interacting particle systems, KPZ universality, and random matrices, J. Phys. A, vol.43, p.403001, 2010. ,
Current fluctuations of the one dimensional symmetric simple exclusion process with step initial condition, J. Stat. Phys, vol.136, p.1, 2009. ,
Symmetric exclusion process with a localized source, Phys. Rev. E, vol.86, p.41103, 2012. ,
Lattice gases with a point source, J. Stat. Mech, p.9003, 2014. ,
Crossover between ballistic and diffusive transport: the quantum exclusion process, J. Stat. Mech, p.6007, 2011. ,
Dynamical Phase transition for a quantum particle source, Ann. Henri Poincaré, vol.10, p.1223, 2010. ,
Quantum random walks: An introductory overview, Contemp. Phys, vol.44, p.307, 2003. ,
Completely positive dynamical semigroups of N-level systems, J. Math. Phys, vol.17, p.821, 1976. ,
On the generators of quantum dynamical semigroups, Commun. Math. Phys, vol.48, p.119, 1976. ,
, The Theory of Open Quantum Systems, 2002.
, An accessible derivation of the Lindblad equation can be found e.g. in lecture notes on quantum information and computation by, Lecture Notes for Physics, vol.219
, A short introduction to the Lindblad Master Equation
The Zeno's paradox in quantum theory, J. Math. Phys, vol.18, p.756, 1977. ,
Quantum Zeno effect, Phys. Rev. A, vol.41, p.2295, 1990. ,
Protecting Entanglement via the Quantum Zeno Effect, Phys. Rev. Lett, vol.100, p.90503, 2008. ,
, Strong Dissipation Inhibits Losses and Induces Correlations in Cold Molecular Gases Science, vol.320, p.1329, 2008.
Atomic Three-Body Loss as a Dynamical Three-Body Interaction, Phys. Rev. Lett, vol.102, p.40402, 2009. ,
Pfaffian State Generation by Strong Three-Body Dissipation, Phys. Rev. Lett, vol.104, p.96803, 2010. ,
Controlling the Dynamics of an Open Many-Body Quantum System with Localized Dissipation, Phys. Rev. Lett, vol.110, p.35302, 2013. ,
Bistability in a Driven-Dissipative Superfluid, Phys. Rev. Lett, vol.116, p.235302, 2016. ,
Coherent perfect absorption of nonlinear matter waves, Sci. Adv, vol.4, 2018. ,
Fluctuation-induced quantum Zeno effect, Phys. Rev. Lett, vol.122, p.40402, 2019. ,
Transport in a one-channel Luttinger liquid, Phys. Rev. Lett, vol.68, p.1220, 1992. ,
Transmission through barriers and resonant tunneling in an interacting one-dimensional electron gas, Phys. Rev. B, vol.46, p.15233, 1992. ,
Impurity quenching of molecular excitons. I. Kinetic comparison of FörsterDexter and slowly quenched Frenkel excitons in linear chains, J. Chem. Phys, vol.56, p.2431, 1972. ,
One-dimensional quantum transport in the presence of traps, Phys. Rev. B, vol.40, p.4928, 1989. ,
Formulae for partial widths derived from the Lindblad equation, Phys. Rev. A, vol.85, p.62518, 2012. ,
Absorbing boundary conditions for dynamical many-body quantum systems, J. Phys. B, vol.43, p.65004, 2010. ,
Survival of classical and quantum particles in presence of traps, J. Stat. Phys, vol.154, p.1430, 2014.,
URL : https://hal.archives-ouvertes.fr/cea-00932075
Detection of a quantum particle on a lattice under repeated projective measurements, Phys. Rev. A, vol.91, p.62115, 2015. ,
Quantum survival and first detection probabilities in projective measurements, J. Phys. A, vol.48, p.115304, 2015. ,
Return to the origin problem for a particle on a one-dimensional lattice with quasi-Zeno dynamics, Phys. Rev. A, vol.99, p.12101, 2019. ,
Quantum renewal equation for the first detection time of a quantum walk, J. Phys. A, vol.50, pp.4-5, 2016. ,
Quantum walks: The first detected passage time problem, Phys. Rev. E, vol.95, p.32141, 2017. ,
First Detected Arrival of a Quantum Walker on an Infinite Line, Phys. Rev. Lett, vol.120, p.40502, 2018. ,
, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 1972.
Dynamic scaling of fronts in the quantum XX chain, Phys. Rev. E, vol.69, p.66103, 2004. ,
Full counting statistics in a propagating quantum front and random matrix spectra, Phys. Rev. Lett, vol.110, p.60602, 2013. ,
, Random Walks, vol.1, 1995.
, Handbook of Elliptic Integrals for Engineers and Scientists, 1971.
, Entropy, Large Deviations, and Statistical Mechanics, 1985.
Large deviations, Ann. Probab, vol.36, p.397, 2008. ,
The large deviation approach to statistical mechanics, Phys. Rep, vol.478, p.1, 2009. ,
, Thermodynamics of Quantum Jump Trajectories, vol.104, p.160601, 2010.
Thermodynamics of quantum jump trajectories in systems driven by classical fluctuations, Phys. Rev. E, vol.82, p.61106, 2010. ,
Large-deviation analysis for counting statistics in mesoscopic transport, Phys. Rev. B, vol.84, p.115319, 2011. ,
Thermodynamics of quadrature trajectories in open quantum systems, Phys. Rev. A, vol.86, p.63824, 2012. ,
Quantum Nonequilibrium Steady States Induced by Repeated Interactions, Phys. Rev. Lett, vol.102, p.207207, 2009.,
URL : https://hal.archives-ouvertes.fr/hal-00377764
A matrix product solution for a nonequilibrium steady state of an XX chain, J. Phys. A, vol.43, p.415004, 2010. ,
Exact large deviation statistics for a nonequilibrium quantum spin chain, Phys. Rev. Lett, vol.112, p.40602, 2014. ,
Third quantization: a general method to solve master equations for quadratic open Fermi systems, New J. Phys, vol.10, p.43026, 2008. ,
, Lindblad equation for a non-interacting fermionic system: full-counting statistics
Anomalous nonequilibrium current fluctuations in the Heisenberg model, Phys. Rev. B, vol.90, p.115156, 2014. ,
Exactly solvable counting statistics in weakly coupled open interacting spin systems, Phys. Rev. Lett, vol.112, p.67201, 2014. ,
, Entanglement and thermalization in open fermion systems
Boundary-driven Lindblad dynamics of random quantum spin chains: strong disorder approach for the relaxation, the steady state and the current, J. Stat. Mech, p.43303, 2017.,
URL : https://hal.archives-ouvertes.fr/cea-01472970
Fluctuating hydrodynamics, current fluctuations, and hyperuniformity in boundary-driven open quantum chains, Phys. Rev. E, vol.96, p.52118, 2017. ,
Current fluctuations in boundary-driven quantum spin chains, Phys. Rev. B, vol.98, p.94301, 2018. ,
Logarithmic current fluctuations in nonequilibrium quantum spin chains, Phys. Rev. E, vol.78, p.61115, 2008. ,
Exact large deviation function of spin current for the one dimensional XX spin chain with domain wall initial condition, J. Stat. Mech, p.63105, 2019. ,
Open XXZ spin chain: nonequilibrium steady state and a strict bound on ballistic transport, Phys. Rev. Lett, vol.106, p.217206, 2011. ,
Exact Nonequilibrium Steady State of a Strongly Driven Open XXZ Chain, Phys. Rev. Lett, vol.107, p.137201, 2011. ,
Nonequilibrium particle and energy currents in quantum spin chains connected to mesoscopic Fermi reservoirs, Phys. Rev. B, vol.86, p.125111, 2012. ,
Matrix product solutions of boundary driven quantum chains, J. Phys. A, vol.48, p.373001, 2015. ,
, Thermal radiation and dissipative phase transition in a BEC with local loss
, Integrals and Series: Special functions, 1986.
Staircase polygons and recurrent lattice walks, Phys. Rev. E, vol.46, p.2339, 1993. ,
On the cubic modular transformation and the cubic lattice Green functions, J. Phys. A, vol.31, p.5105, 1998. ,
Singular behavior of the lattice Green function for the d-dimensional hypercubic lattice, J. Phys. A, vol.36, p.911, 2003. ,
Lattice Green's functions in all dimensions, J. Phys. A, vol.43, p.305205, 2010. ,
Green's functions for monoatomic simple cubic lattices, Classe des Sciences), vol.7, p.1709, 1960. ,