Time dependence of correlation functions following a quantum quench.
By Pasquale Calabrese, J. Cardy. Physical Review Letters, 2006
846 citations recorded by the source corpus.
We show that the time dependence of correlation functions in an extended quantum system in d dimensions, which is prepared in the ground state of some Hamiltonian and then evolves without dissipation according to some other Hamiltonian, may be extracted using methods of boundary critical phenomena in d + 1 dimensions. For d = 1 particularly powerful results are available using conformal field theory. These are checked against those available from solvable models. They may be explained in terms of a picture, valid more generally, whereby quasiparticles, entangled over regions of the order of the correlation length in the initial state, then propagate classically through the system.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/8c20c162e2e4520f09fb3b6bab42722170566390
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Quantum quenches in 1 + 1 dimensional conformal field theories (2016, background): “With some simple algebra, and continuing to τ = τ0+it (see [33, 25, 32] for detailed calculations), we find for t, ` τ0”
- Entanglement scaling of operators: a conformal field theory approach, with a glimpse of simulability of long-time dynamics in 1 + 1d (2016, background): “So in this paper, we will proceed as in the seminal work of Calabrese and Cardy [15], and many subsequent papers: we will rely on the replica trick, calculate the OSEE for α integer ≥ 2, and then make the assumption that the scaling one finds (as a function of system size, or of time) is similar for”
- Diffusion in generalized hydrodynamics and quasiparticle scattering (2018, background): “The initial state can be chosen to be homogeneous (invariant under space translations) [4, 5], or inhomogeneous [10–15], as it is the case in many experimental settings [16–21].”
- Probe branes, time-dependent couplings and thermalization in AdS/CFT (2010, background): “For example, if we start with a free massive field theory in its vacuum state and suddenly change the mass to a different value, the resulting real time correlation functions become thermal at late time [17, 19].”
- Nonequilibrium dynamical mean-field theory and its applications (2013, background): “…by coldatom experiments, these questions have been addressed particularly in the context of quantum “quench” problems (Barmettler et al., 2009; Calabrese and Cardy, 2006; Cassidyet al., 2011; Cazalilla, 2006; Dziarmaga, 2010; Eckstein and Kollar, 2008b; Ecksteinet al., 2009b; Kollathet al.,…”
- Light-cone-like spreading of correlations in a quantum many-body system (2011, background): “0(3) show a clear positive signal propagating with increasing time to larger distances d (Fig.”
- Entanglement in a fermion chain under continuous monitoring (2018, methodology): “1 Entanglement by quasiparticle pairs: brief review The quasiparticle pair approach to entanglement entropy emerged originally in applying conformal field theories to isolated quantum systems undergoing quantum quenches [42, 71].”
- Entanglement entropy from a holographic viewpoint (2012, background): “A simple class of such examples of timedependent backgrounds in QFTs is called quantum quenches [114, 115, 116].”
- Entanglement entropy and conformal field theory (2009, background): “After the conformal mapping and analytically continuing the four-point ratio x becomes large for /τ0 and t/τ0 [119, 120]: x ∼ e πt/τ0”
- Keldysh field theory for driven open quantum systems (2015, background): “[32] Pasquale Calabrese and John Cardy, “Time dependence of correlation functions following a quantum quench,” Phys.”