Quasiparticle dynamics of symmetry-resolved entanglement after a quench: Examples of conformal field theories and free fermions
(2021) Physical Review B, Solid State — Vol. 103, n° L041104, p. n-p (2021)
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- Abstract
- The time evolution of the entanglement entropy is a key concept to understand the structure of a nonequilibrium quantum state. In a large class of models, such evolution can be understood in terms of a semiclassical picture of moving quasiparticles spreading the entanglement throughout the system. However, it is not yet known how the entanglement splits between the sectors of an internal local symmetry of a quantum many-body system. Here, guided by the examples of conformal field theories and free-fermion chains, we show that the quasiparticle picture can be adapted to this goal, leading to a general conjecture for the charged entropies whose Fourier transform gives the desired symmetry-resolved entanglement \(S_n (q)\). We point out two physically relevant effects that should be easily observed in atomic experiments: a delay time for the onset of \(S_n (q)\) which grows linearly with \(|\Delta q|\) (the difference between the charge \(q\) and its mean value) and an effective equipartition when \(|\Delta q|\) is much smaller than the subsystem size.
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Parez, G., Bonsignori, R., & Calabrese, P. (2021). Quasiparticle dynamics of symmetry-resolved entanglement after a quench: Examples of conformal field theories and free fermions. Physical Review B, Solid State, 103(L041104), n-p. https://doi.org/10.1103/PhysRevB.103.L041104 (Original work published 2021)