Quantum quenches in integrable field theories

By D. Fioretto, G. Mussardo. 2009

202 citations recorded by the source corpus.

We study the non-equilibrium time evolution of an integrable field theory in 1+1 dimensions after sudden variation of a global parameter of the Hamiltonian. For a class of quenches defined in the text, we compute the long time limit of the one point function of a local operator as a series of form factors. Even if some subtleties force us to handle this result with care, there is strong evidence that for long times the expectation value of any local operator can be described by a generalized Gibbs ensemble with a different effective temperature for each eigenmode.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b4804b49e55635c0215a08217f9b484169e28359

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. Pasquale Calabrese
2. Marcos Rigol
3. F. Essler
4. M. Fagotti
5. J. Caux
6. B. Doyon
7. L. Vidmar
8. J. Cardy

In Geometry and Topology

1. Pasquale Calabrese
2. B. Doyon
3. Marcos Rigol
4. L. Vidmar
5. D. Bernard
6. J. Caux
7. R. Citro
8. M. Fagotti

In Nuclear and High Energy Physics

1. Pasquale Calabrese
2. J. Caux
3. B. Doyon
4. M. Fagotti
5. F. Essler
6. J. Cardy
7. E. Tonni

Citations in the corpus

• Quantum quenches in the transverse field Ising chain: II. Stationary state properties (2012, background): “tion whether quantum integrable systems exhibit qualitatively dierent stationary behaviours when compared to generic, nonintegrable ones. These issues have been addressed in a number of recent works [8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33, 34,35,36,37,38,39,40,41”
• Generalized Gibbs ensemble in integrable lattice models (2016, background): “Since then, the validity of the GGE to describe observables in integrable systems after equilibration has been demonstrated in a wide range of 1D models including: Luttinger liquids [39, 40, 41], the 1/r fermionic Hubbard model [42], the sine-Gordon model [43], the transverse field Ising model [44, ”
• Remarks on the notion of quantum integrability (2010, background): “This is not a behaviour exclusive to integrable systems; recent examples [70] are known of far from integrable models retaining memory of initial conditions, with their long-time states still described by a maximum entropy or generalized Gibbs ensemble (the latter was also recently shown to be a use”
• One dimensional bosons: From condensed matter systems to ultracold gases (2011, background): “…of several studies during the last years (Barthel and Schollwöck, 2008; Calabrese and Cardy, 2007; Cassidy et al., 2010; Cazalilla, 2006; Cramer et al., 2008; Fioretto and Mussardo, 2010; Iucci and Cazalilla, 2009, 2010; Kollar and Eckstein, 2008; Rigol et al., 2007, 2006a; Rossini et al., 2009).”
• Colloquium: Nonequilibrium dynamics of closed interacting quantum systems (2010, background): “For this general class of integrable systems and a specific class of translationally invariant initial states it was indeed shown the long-time limit of the average of local operators is well described by this ensemble (Fioretto and Mussardo, 2010).”
• Diffusion in generalized hydrodynamics and quasiparticle scattering (2018, background): “By a generalisation of the eigenstate thermalisation hypothesis [102] to integrable systems [103,104], one would expect a single state within this shell to give rise to the same local averages as those evaluated from the macrostate, whence this notation.”
• Quantum quenches in 1  +  1 dimensional conformal field theories (2016, unknown): “the results in this case are much less general as, for example, discussed in [65].”