, Quantum Physics in One Dimension, 2004.
, Many-Body Quantum Theory in Condensed Matter Physics: An Introduction, 2004.
Green's Functions and Condensed Matter, 2013. ,
Dynamical density-density correlations in the one-dimensional Bose gas, Phys. Rev. A, vol.74, issue.3, p.31605, 2006. ,
Excitation spectra of strongly correlated lattice bosons and polaritons, Phys. Rev. A, vol.80, issue.3, p.33612, 2009. ,
Dynamic density-density correlations in interacting Bose gases on optical lattices, J. Phys. Conf. Ser, vol.391, issue.1, p.12143, 2012. ,
, Neutron Scattering in Condensed Matter Physics, 2009.
Probing the electronic structure of complex systems by ARPES, Phys. Scr, vol.109, p.61, 2004. ,
Using photoemission spectroscopy to probe a strongly interacting Fermi gas, Nature, vol.454, issue.7205, p.744, 2008. ,
Bragg spectroscopy of a Bose-Einstein condensate, Phys. Rev. Lett, vol.82, issue.23, p.4569, 1999. ,
Colloquium: Bulk Bogoliubov excitations in a Bose-Einstein condensate, Rev. Mod. Phys, vol.77, issue.1, p.187, 2005. ,
Exploring correlated 1D Bose gases from the superfluid to the Mott-insulator state by inelastic light scattering, Phys. Rev. Lett, vol.102, issue.15, p.155301, 2009. ,
Probing the excitations of a Lieb-Liniger gas from weak to strong coupling, Phys. Rev. Lett, vol.115, issue.8, p.85301, 2015. ,
Colloquium: Nonequilibrium dynamics of closed interacting quantum systems, Rev. Mod. Phys, vol.83, p.863, 2011. ,
Quantum many-body systems out of equilibrium, Nat. Phys, vol.11, p.124, 2015. ,
Ultracold atoms out of equilibrium, Annual Rev. Cond. Mat. Phys, vol.6, p.201, 2015. ,
Ultracold atomic gases in optical lattices: Mimicking condensed matter physics and beyond, Adv. Phys, vol.56, p.243, 2007. ,
Many-body physics with ultracold gases, Rev. Mod. Phys, vol.80, p.885, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00195515
Quantum simulations with ultracold quantum gases, Nat. Phys, vol.8, p.277, 2012. ,
On-chip quantum simulation with superconducting circuits, Nat. Phys, vol.8, p.292, 2012. ,
Quantum simulations with ultracold atoms in optical lattices, Science, vol.357, p.995, 2017. ,
Lebreuilly and I. Carusotto, Quantum simulation of zero temperature quantum phases and incompressible states of light via non-Markovian reservoir engineering techniques, Alet and N. Laflorencie, Many-body localization: An introduction and selected topics, vol.19, p.498, 2018. ,
Concurrence of dynamical phase transitions at finite temperature in the fully connected transverse-field Ising model, Phys. Rev. B, vol.97, p.174401, 2018. ,
, Quasiparticle origin of dynamical quantum phase transitions, 2018.
, Dynamical phase transitions in the two-dimensional transverse-field Ising model, 2018.
Exact time-correlation functions of quantum Ising chain in a kicking transversal magnetic field: Spectral analysis of the adjoint propagator in Heisenberg picture, Prog. Theor. Phys, vol.139, p.191, 2000. ,
Locating topological phase transitions using nonequilibrium signatures in local bulk observables, Phys. Rev. B, vol.95, p.41105, 2017. ,
Detecting equilibrium and dynamical quantum phase transitions in Ising chains via out-oftime-ordered correlators, Phys. Rev. Lett, vol.121, p.16801, 2018. ,
, Probing ground-state phase transitions through quench dynamics, 2018.
Detection of quantum phases via out-of-time-order correlators, Phys. Rev. Lett, vol.123, p.140602, 2019. ,
The finite group velocity of quantum spin systems, Comm. Math. Phys, vol.28, issue.3, p.251, 1972. ,
Evolution of entanglement entropy in one-dimensional systems, J. Stat. Mech, issue.04, p.4010, 2005. ,
Time dependence of correlation functions following a quantum quench, Phys. Rev. Lett, vol.96, issue.13, p.136801, 2006. ,
Universal scaling laws for correlation spreading in quantum systems with short-and long-range interactions, Phys. Rev. B, vol.98, issue.2, p.24302, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01532720
Twofold correlation spreading in a strongly correlated lattice Bose gas, Sci. Rep, vol.9, issue.1, p.4135, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01953405
Monitoring squeezed collective modes of a one-dimensional Bose gas after an interaction quench using density-ripple analysis, Phys. Rev. A, vol.98, p.43604, 2018. ,
Quench dynamics of quantum spin models with flat bands of excitations, Phys. Rev. B, vol.98, p.205145, 2018. ,
,
Boson localization and the superfluid-insulator transition, Phys. Rev. B, vol.40, issue.1, p.546, 1989. ,
One dimensional bosons: from condensed matter systems to ultracold gases, Rev. Mod. Phys, vol.83, issue.4, p.1405, 2011. ,
URL : https://hal.archives-ouvertes.fr/ensl-00647350
Sweeping from the superfluid to the Mott phase in the Bose-Hubbard model, Phys. Rev. Lett, vol.97, issue.20, p.200601, 2006. ,
Bogoliubov theory of quantum correlations in the time-dependent Bose-Hubbard model, Phys. Rev. A, vol.77, issue.4, p.43615, 2008. ,
Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas, Nat. Phys, vol.8, issue.4, p.325, 2012. ,
Lightcone-like spreading of correlations in a quantum many-body system, Nature, vol.481, issue.7382, p.484, 2012. ,
Propagation front of correlations in an interacting Bose gas, Phys. Rev. A, vol.85, issue.5, p.53625, 2012. ,
URL : https://hal.archives-ouvertes.fr/hal-01397829
Light-cone effect and supersonic correlations in one-and two-dimensional bosonic superfluids, Phys. Rev. A, vol.89, issue.3, p.31602, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00871090
Cavity assisted measurements of heat and work in optical lattices, vol.2, p.42, 2018. ,
Exact diagonalization plus renormalization-group theory: accurate method for a onedimensional superfluid-insulator-transition study, Phys. Rev. B, vol.53, issue.17, p.11776, 1996. ,
One-dimensional Bose-Hubbard model with nearest-neighbor interaction, Phys. Rev. B, vol.61, issue.18, p.12474, 2000. ,
Dynamic properties of the one-dimensional Bose-Hubbard model, Europhys. Lett, vol.93, issue.3, p.30002, 2011. ,
Mott transition for strongly interacting one-dimensional bosons in a shallow periodic potential, Phys. Rev. A, vol.93, issue.1, p.11601, 2016. ,
Observation of many-body localization in a one-dimensional system with a single-particle mobility edge, Phys. Rev. Lett, vol.122, issue.17, p.170403, 2019. ,
, Bose-Einstein Condensation, 2004.
Exact analysis of an interacting Bose gas. I. the general solution and the ground state, Phys. Rev, vol.130, issue.4, p.1605, 1963. ,
Exact analysis of an interacting Bose gas. II. the excitation spectrum, Phys. Rev, vol.130, issue.4, p.1616, 1963. ,
Solidification in a soluble model of bosons on a one-dimensional lattice: the boson-Hubbard chain, Phys. Lett. A, vol.80, issue.4, p.281, 1980. ,
Bethe ansatz for the one-dimensional boson Hubbard model, Phys. Rev. B, vol.44, issue.17, p.9772, 1991. ,
Bethe-ansatz approximation for the S=1 antiferromagnetic spin chain, J. Phys. Soc. Japan, vol.63, issue.10, p.3598, 1994. ,
Failure of Bethe-ansatz solutions of generalisations of the Hubbard chain to arbitrary permutation symmetry, Phys. Lett. A, vol.90, issue.1-2, p.83, 1982. ,
, Triple occupancy has been shown to be vanishingly small for the BHm and interaction strengths above U/J 20, see for instance Fig
Zero-point phase transitions in the one-dimensional truncated bosonic Hubbard model and its spin-1 analog, Phys. Rev. B, vol.58, issue.4, p.1826, 1998. ,
Differences between the Tonks regimes in the continuum and on the lattice, Phys. Rev. A, vol.70, issue.4, p.41604, 2004. ,
, We have checked that, for any value of the filling, the QSF computed here is compatible with the characteristic velocities of the correlation spreading
Quasiparticle engineering and entanglement propagation in a quantum many-body system, Nature, vol.511, p.202, 2014. ,
Nonlocal propagation of correlations in quantum systems with longrange interactions, Nature, vol.511, p.198, 2014. ,
Spread of correlations in longrange interacting quantum systems, Phys. Rev. Lett, vol.111, issue.20, p.207202, 2013. ,
Entanglement growth in quench dynamics with variable range interactions, Phys. Rev. X, vol.3, p.31015, 2013. ,
Protected quasilocality in quantum systems with long-range interactions, Phys. Rev. A, vol.92, issue.4, p.41603, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01128147
Spreading of correlations in exactly solvable quantum models with longrange interactions in arbitrary dimensions, New J. Phys, vol.18, issue.9, p.93002, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01304645
Entanglement growth and correlation spreading with variable-range interactions in spin and fermionic tunneling models, Phys. Rev. A, vol.93, p.53620, 2016. ,
Entanglement entropy for the long-range Ising chain in a transverse field, Phys. Rev. Lett, vol.109, issue.26, p.267203, 2012. ,
Matrix product state applications for the ALPS project, Comput. Phys. Commun, vol.185, issue.12, p.3430, 2014. ,
, Functional Integrals in Quantum Field Theory and Statistical Physics, 1983.
Extension of Bogoliubov theory to quasicondensates, Phys. Rev. A, vol.67, issue.5, p.53615, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00157445
Field dependence of the intrinsic domain magnetization of a ferromagnet, Phys. Rev, vol.58, p.1098, 1940. ,
, Interacting Electrons and Quantum Magnetism, 1994.
, Quantum Inverse Scattering Method and Correlation Functions, vol.3, 1997.
Beautiful Models: 70 Years of Exactly Solved Quantum Many-Body Problems, 2004. ,
An Introduction to Integrable Techniques for One-Dimensional Quantum Systems, vol.940, 2017. ,
Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions, Phys. Rev. Lett, vol.110, issue.20, p.205301, 2013. ,
Thermodynamics of a onedimensional system of bosons with repulsive delta-function interaction, Journal of Mathematical Physics, vol.10, issue.7, p.1115, 1969. ,