The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
arXiv:1104.5631 · doi:10.1088/1367-2630/13/7/073018
Abstract
Quantum noise correlations have been employed in several areas in physics including condensed matter, quantum optics and ultracold atom to reveal non-classical states of the systems. So far, such analysis mostly focused on systems in equilibrium. In this paper, we show that quantum noise is also a useful tool to characterize and study the non-equilibrium dynamics of one dimensional system. We consider the Ramsey sequence of one dimensional, two-component bosons, and obtain simple, analytical expressions of time evolutions of the full distribution functions for this strongly-correlated, many-body system. The analysis can also be directly applied to the evolution of interference patterns between two one dimensional quasi-condensates created from a single condensate through splitting. Using the tools developed in this paper, we demonstrate that one dimensional dynamics in these systems exhibits the phenomenon known as "prethermalization", where the observables of {\it non-equilibrium}, long-time transient states become indistinguishable from those of thermal {\it equilibrium} states.
22 pages, 11 figures+appendix
References in corpus (62)
- The density-matrix renormalization group
- Thermalization and its mechanism for generic isolated quantum systems
- Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
- Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
- Many-particle entanglement with Bose--Einstein condensates
- Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
- Matter-wave interferometry in a double well on an atom chip
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- The Luttinger model following a sudden interaction switch-on
- Prethermalization
- The Mott insulator transition in two dimensions
- Atom Chips
- Towards identification of a non-abelian state: observation of a quarter of electron charge at quantum Hall state
- Probing Pair-Correlated Fermionic Atoms through Correlations in Atom Shot Noise
- Correlations and Counting Statistics of an Atom Laser
- Quantum quench dynamics of the Luttinger model
- Quantum quench dynamics of some exactly solvable models in one dimension
- Probing quantum and thermal noise in an interacting many-body system
- Free fermion antibunching in a degenerate atomic Fermi gas released from an optical lattice
- Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
- Stability and phase coherence of trapped 1D Bose gases
- Attractive Fermi gases with unequal spin populations in highly elongated traps
- Universal theory of nonlinear Luttinger liquids
- Momentum spectroscopy of 1D phase fluctuations in Bose-Einstein condensates
- Interference of an array of independent Bose-Einstein condensates
- Relaxation of antiferromagnetic order in spin-1/2 chains following a quantum quench
- Dynamical density-density correlations in the one-dimensional Bose gas
- Dynamic response of one-dimensional interacting fermions
- Interference between independent fluctuating condensates
- An exactly solvable model of the BCS-BEC crossover
- Full quantum distribution of contrast in interference experiments between interacting one dimensional Bose liquids
- Quantum quench dynamics of the sine-Gordon model in some solvable limits
- Exact edge singularities and dynamical correlations in spin-1/2 chains
- Quantum Spin Dynamics of Mode-Squeezed Luttinger Liquids in Two-Component Atomic Gases
- Phenomenology of One-Dimensional Quantum Liquids Beyond the Low-Energy Limit
- Exact exponents of edge singularities in dynamic correlation functions of 1D Bose gas
- Breakdown of integrability in a quasi-one-dimensional ultracold bosonic gas
- Two-point density correlations of quasicondensates in free expansion
- Dilute Fermi gas in quasi-one-dimensional traps: From weakly interacting fermions via hard core bosons to weakly interacting Bose gas
- Spectroscopy of Collective Excitations in Interacting Low-Dimensional Many-Body Systems Using Quench Dynamics
- Two-point phase correlations of a one-dimensional bosonic Josephson junction
- Exactly solvable case of a one-dimensional Bose-Fermi mixture
- Decoherence Dynamics in Low-Dimensional Cold Atom Interferometers
- Light cone dynamics and reverse Kibble-Zurek mechanism in two-dimensional superfluids following a quantum quench
- Intrinsic dephasing in one dimensional ultracold atom interferometers
- Order parameter statistics in the critical quantum Ising chain
- Applications of exact solution for strongly interacting one dimensional bose-fermi mixture: low-temperature correlation functions, density profiles and collective modes
- Ramsey interference in one dimensional systems: The full distribution function of fringe contrast as a probe of many-body dynamics
- Thermalization in a quasi-1D ultracold bosonic gas
- A geometrical approach to the dynamics of spinor condensates II: Collective modes
- A geometrical approach to the dynamics of spinor condensates I: Hydrodynamics
- Adiabatic nonlinear probes of one-dimensional Bose gases
- Relaxation of a high-energy quasiparticle in a one-dimensional Bose gas
- Exact results for the 1D interacting mixed Bose-Fermi gas
- Fluctuations and stochastic processes in one-dimensional many-body quantum systems
- Noise correlation spectroscopy of the broken order of a Mott insulating phase
- Threshold for Chaos and Thermalization in One-Dimensional Mean-Field Bose-Hubbard Model
- Correlation functions of one-dimensional Bose-Fermi mixtures
- Mapping of Coulomb gases and sine-Gordon models to statistics of random surfaces
- Resonance absolute quantum reflection at selected energies
- Quantum optics with bosons and fermions
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- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Relaxation and Pre-thermalization in an Isolated Quantum System
- Quench dynamics and relaxation in isolated integrable quantum spin chains
- Experimental Observation of a Generalized Gibbs Ensemble
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Local emergence of thermal correlations in an isolated quantum many-body system
- Quantum quenches in 1+1 dimensional conformal field theories
- Ultracold atoms out of equilibrium
- Prethermalization and universal dynamics in near-integrable quantum systems
- Generalized Gibbs Ensembles for Quantum Field Theories
- Pre-thermalization in a non-integrable quantum spin chain after a quench
- Quench Dynamics in a Model with Tuneable Integrability Breaking
- Quasi Many-body Localization in Translation Invariant Systems
- Large deviations and universality in quantum quenches
- Recurrences in an isolated quantum many-body system
- Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas
- On Conservation Laws, Relaxation and Pre-relaxation after a Quantum Quench
- Exact steady states for quantum quenches in integrable Heisenberg spin chains
- Thermalization and light cones in a model with weak integrability breaking
- Relaxation, pre-thermalization and diffusion in a noisy Quantum Ising Chain
- Aging and coarsening in isolated quantum systems after a quench: exact results for the quantum model with
- Hybrid semiclassical theory of quantum quenches in one dimensional systems
- Exploring dynamical phase transitions and prethermalization with quantum noise of excitations
- Full Counting Statistics in the Transverse Field Ising Chain
- Prethermalization Revealed by the Relaxation Dynamics of Full Distribution Functions
- Quantum quenches in the sine--Gordon model: a semiclassical approach
- Full counting statistics in the gapped XXZ spin chain
- Equilibration Properties of Classical Integrable Field Theories
- Multimode dynamics and emergence of a characteristic length-scale in a one-dimensional quantum system
- Statistics of the work done by splitting a one-dimensional quasi-condensate
- Quantum Quenches in the Luttinger model and its close relatives
- Work distribution and edge singularities for generic time-dependent protocols in extended systems
- Quantum Quench and Prethermalization Dynamics in A Two-Dimensional Fermi Gas with Long-range Interactions
- Local relaxation and light-cone-like propagation of correlations in a trapped one-dimensional Bose gas
- Memory-preserving equilibration after a quantum quench in a 1d critical model
- How order melts after quantum quenches
- Entangled phonons in atomic Bose-Einstein condensates
- Full counting statistics of time of flight images
- Prethermalization in one-dimensional Bose gases: description by a stochastic Ornstein-Uhlenbeck process
- Equilibration and prethermalization in the Bose-Hubbard and Fermi-Hubbard models
- From the sinh-Gordon field theory to the one-dimensional Bose gas: exact local correlations and full counting statistics
- Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in spatial dimensions
- Full counting statistics in the spin-1/2 Heisenberg XXZ chain
- Decay and recurrence of non-Gaussian correlations in a quantum many-body system
- Quantum field thermal machines
- Nonthermal fixed points and solitons in a one-dimensional Bose gas
- Non-equilibrium dynamics of coupled Luttinger liquids
- Relaxation dynamics in a Hubbard dimer coupled to fermionic baths: phenomenological description and its microscopic foundation
- Thermalization without eigenstate thermalization hypothesis after a quantum quench
- Linear Ramps of Interaction in the Fermionic Hubbard Model
- Towards experimental quantum field tomography with ultracold atoms
- Relaxation dynamics of two coherently coupled one-dimensional bosonic gases
- Entanglement prethermalization: Locally thermal but non-locally non-thermal states in a one-dimensional Bose gas
- Quench action and large deviations: work statistics in the one-dimensional Bose gas
- Prethermalization in the transverse-field Ising chain with long-range interactions
- Universal post-quench coarsening and quantum aging at a quantum critical point
- Prethermalization at Low Temperature: the Scent of Long-Range Order
- Thermalization of a quantum Newton's cradle in a one-dimensional quasicondensate
- thermalization, prethermalization and impact of the temperature in the quench dynamics of two unequal Luttinger liquids
- Exact out-of-equilibrium steady states in the semiclassical limit of the interacting Bose gas
- Diffusive Hydrodynamics of Inhomogenous Hamiltonians
- Non-equilibrium criticality in quench dynamics of infinite-range spin models
- Many-body localization and thermalization in the full probability distribution function of observables
- Self-consistent time-dependent harmonic approximation for the sine-Gordon model out of equilibrium
- Projective phase measurements in one-dimensional Bose gases
- Dynamic Kosterlitz-Thouless transition in 2D Bose mixtures of ultra-cold atoms
- Real-Time Evolution in the Hubbard Model with Infinite Repulsion
- Quenches in initially coupled Tomonaga-Luttinger Liquids: a conformal field theory approach
- Josephson oscillations in split one-dimensional Bose gases
- On the low-energy description for tunnel-coupled one-dimensional Bose gases
- Chiral Prethermalization in supersonically split condensates
- Thermalization in Systems with Bipartite Eigenmode Entanglement
- Non-Gaussian diffusive fluctuations in Dirac fluids
- Double light-cone dynamics establish thermal states in integrable 1D Bose gases
- Full counting statistics and symmetry resolved entanglement for free conformal theories with interface defects
- Universal dynamics and non-thermal fixed points in quantum fluids far from equilibrium
- From the moving piston to the dynamical Casimir effect: explorations with shaken condensates
- Dynamics following a linear ramps in the model: dynamical transition and statistics of excitations
- Simulating a quantum commensurate-incommensurate phase transition using two Raman coupled one dimensional condensates
- Universal Prethermal Dynamics in Gross-Neveu-Yukawa Criticality
- Quantum field tomography
- Postquench prethermalization in a disordered quantum fluid of light
- Boltzmann relaxation dynamics in the strongly interacting Fermi-Hubbard model
- Macroscopic Length Correlations in Non-Equilibrium Systems and Their Possible Realizatons
- Environment induced pre-thermalization in the Mott-Hubbard model
- Thermalization Dynamics of Two Correlated Bosonic Quantum Wires After a Split
- Entanglement prethermalization in the Tomonaga-Luttinger model
- Aging dynamics in quenched noisy long-range quantum Ising models
- Distinguishing Quantum Phases through Cusps in Full Counting Statistics
- Squeezing oscillations in a multimode bosonic Josephson junction
- Boltzmann relaxation dynamics of strongly interacting spinless fermions on a lattice
- Phase-space representations of thermal Bose-Einstein condensates
- Unbounded entropy production and violent fragmentation for repulsive-to-attractive interaction quench in long-range interacting systems
- Fermion-induced Dynamical Critical Point
- Fundamental limit of phase coherence in two-component Bose-Einstein condensates
- Quantum heat waves in a one-dimensional condensate
- Ballistic Modes as a Source of Anomalous Charge Noise
- Simulating long-range coherence of atoms and photons in quantum computers
- Back-reaction and correlation effects on pre-thermalization in Mott-Hubbard systems
- One-dimensional atomic superfluids as a model system for quantum thermodynamics
- Relaxation dynamics of integrable field theories after a global quantum quench
- Prethermalization of light and matter in cavity-coupled Rydberg arrays
- Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
- Exact solution of a quantum asymmetric exclusion process with particle creation and annihilation
- Low-energy prethermal phase and crossover to thermalization in nonlinear kicked rotors
- Subexponential decay of local correlations from diffusion-limited dephasing
- Systematic analysis of relative phase extraction in one-dimensional Bose gases interferometry
- Non-equilibrium dynamics of an ultracold Bose gas under a multi-pulsed quantum quench in interaction
- Scale invariant distribution functions in quantum systems with few degrees of freedom