What is an integrable quench

By L. Piroli, B. Pozsgay, Eric Vernier. 2017

169 citations recorded by the source corpus.

Abstract Inspired by classical results in integrable boundary quantum field theory, we propose a definition of integrable initial states for quantum quenches in lattice models. They are defined as the states which are annihilated by all local conserved charges that are odd under space reflection. We show that this class includes the states which can be related to integrable boundary conditions in an appropriate rotated channel, in loose analogy with the picture in quantum field theory. Furthermore, we provide an efficient method to test integrability of given initial states. We revisit the recent literature of global quenches in several models and show that, in all of the cases where closed-form analytical results could be obtained, the initial state is integrable according to our definition. In the prototypical example of the XXZ spin-s chains we show that integrable states include two-site product states but also larger families of matrix product states with arbitrary bond dimension. We argue that our results could be practically useful for the study of quantum quenches in generic integrable models.

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

View Paper: https://www.semanticscholar.org/paper/4c4ba291006f045f0d8e8efb959a6c870149391f

How researchers see this paper

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In Atomic and Molecular Physics, and Optics

1. V. Alba
2. Pasquale Calabrese
3. J. Cardy
4. E. Tonni
5. T. Takayanagi
6. T. Nishioka
7. Thomas Hartman
8. R. Myers

In Geometry and Topology

1. Pasquale Calabrese
2. V. Alba

In Nuclear and High Energy Physics

1. Pasquale Calabrese
2. J. Cardy
3. E. Tonni

Citations in the corpus

• Entanglement dynamics after quantum quenches in generic integrable systems (2017, background): “Recently, there is a broad consensus emerging about the idea that only quenches from these initial states are exactly solvable for genuinely interacting integrable models, as first proposed in the context of quantum field theory [165] and later for lattice integrable models [166].”