Quantum quenches in 1 + 1 dimensional conformal field theories

By Pasquale Calabrese, J. Cardy. 2016

332 citations recorded by the source corpus.

We review the imaginary time path integral approach to the quench dynamics of conformal field theories. We show how this technique can be applied to the determination of the time dependence of correlation functions and entanglement entropy for both global and local quenches. We also briefly review other quench protocols. We carefully discuss the limits of applicability of these results to realistic models of condensed matter and cold atoms.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/00e3249d031ac08fef4563fc50871d042d049dcf

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. A. Nahum
2. Pasquale Calabrese
3. B. Doyon
4. J. Dubail
5. F. Essler
6. M. Fagotti
7. S. Vijay
8. J. Ruhman

In Condensed Matter Physics

1. J. Dubail
2. Pasquale Calabrese
3. A. Nahum
4. T. Nishioka
5. M. Fagotti
6. Thomas Hartman
7. F. Essler
8. B. Doyon

Citations in the corpus

• Information radiation in BCFT models of black holes (2019, methodology): “If we unwrap the circle on which the CFT lives, we obtain a planar black hole dual (above the Hawking-Page transition [56]) to the global quench geometry [57].”
• Entanglement in a fermion chain under continuous monitoring (2018, background): “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].”
• Quantum Entanglement Growth Under Random Unitary Dynamics (2016, background): “However, this picture does not apply to general interacting systems [3,4,10,44].”
• Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases (2016, background): “In this imaginary time approach to quantum quenches, the initial state becomes a boundary condition on the two sides of an infinite strip of width 2R in imaginary time direction y [18, 42, 43].”
• Conformal field theory out of equilibrium: a review (2016, background): “(216) 0(6)4005 non-equilibrium contexts, such as quantum quenches, has been widely studied [69], see the reviews [13, 14] in the present volume.”
• Entanglement entropy: Holography and renormalization group (2018, methodology): “The condensed matter applications of entanglement being a probe of quantum critical phenomena and quantum quench dynamics is elaborated in the reviews (Calabrese and Cardy, 2009, 2016) by means of the CFT methods (see also (Laflorencie, 2016)).”
• Black hole collapse in the 1/c expansion (2016, background): “A famous exception is the work of Calabrese and Cardy on sudden quenches [55, 56], where the Hamiltonian H0 of a gapped system is suddenly tuned to criticality H0 → HCFT at time t = 0.”
• Quench dynamics and relaxation in isolated integrable quantum spin chains (2016, methodology): “93 J. Cardy, Quantum quenches to a critical point in one dimension: some further results, J. Stat.”
• Operator Spreading in Random Unitary Circuits (2017, background): “[10, 11] pointed out that in general vE is smaller than vB , unlike the situation in a 1D conformal field theory [3].”