Quench dynamics across quantum critical points
By K. Sengupta, Stephen Powell, S. Sachdev. 2003
202 citations recorded by the source corpus.
We study the quantum dynamics of a number of model systems as their coupling constants are changed rapidly across a quantum critical point. The primary motivation is provided by the recent experiments of Greiner et al. [Nature (London) 415, 39 (2002)] who studied the response of a Mott insulator of ultracold atoms in an optical lattice to a strong potential gradient. In a previous work, it had been argued that the resonant response observed at a critical potential gradient could be understood by proximity to an Ising quantum critical point describing the onset of density wave order. Here we obtain numerical results on the evolution of the density wave order as the potential gradient is scanned across the quantum critical point. This is supplemented by studies of the integrable quantum Ising spin chain in a transverse field, where we obtain exact results for the evolution of the Ising order correlations under a time-dependent transverse field. We also study the evolution of transverse superfluid order in the three-dimensional case. In all cases, the order parameter is best enhanced in the vicinity of the quantum critical point.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/cd116c7ace7bcbc35b7ab8b09ab7d332066ffd14
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Quench dynamics and relaxation in isolated integrable quantum spin chains (2016, background): “The focus of research on the TFIC and its two-dimensional classical counterpart then shifted to the determination of equilibrium properties, and it took thirty years before the issue of relaxation after quantum quenches returned to centre stage [34, 35].”
- Quantum quenches in the transverse field Ising chain: II. Stationary state properties (2012, background): “(‘;t). 1.2. Longitudinal versus Transverse Correlators A global quantum quench of the transverse eld in the Ising model is an essentially ideal testing ground for many ideas related to thermalization [49,50,51,52,53,54,55,56,57,58,59,60,61]. An example is the issue to what extent the late time behav”
- Generalized Gibbs ensemble in integrable lattice models (2016, background): “Many works in the last twenty years have studied the dynamics of the transverse field Ising model in finite chains [97, 98, 99, 100, 101, 102, 103].”
- Colloquium: Nonequilibrium dynamics of closed interacting quantum systems (2010, background): “This second feature is observed for abrupt quenches as well (Sengupta et al., 2004) and is a consequence of the integrability of the model (Rossini et al., 2010).”
- A Holographic View on Physics out of Equilibrium (2010, background): “See [165, 166, 167, 168] and references therein for details on this subject.”
- Entanglement temperature and entanglement entropy of excited states (2013, background): “Entanglement spectrum also holds a direct relation to the gluing function as well as the gapless edge modes in topological insulators [7, 8].”
- Thermalization and its mechanism for generic isolated quantum systems (2007, background): “Common wisdom says that it does [8, 9], but some recent numerical results suggest otherwise , either under certain conditions [4] or in general [5].”
- Entanglement dynamics after quantum quenches in generic integrable systems (2017, background): “As in the general analysis above, the steady-state is determined by the fermionic occupation numbers nk given by [46,106] nk = 1 2 (1− cos ∆k), (12)”
- Quantum quenches in 1 + 1 dimensional conformal field theories (2016, background): “Let us now discuss the behaviour of correlation functions and let us again start by reviewing some exact results for the Ising chain (28), whose correlation functions after a quench have been determined analytically in [92, 93, 94, 95, 96, 97] (see [98, 99, 100, 101, 102] for earlier numerical works”