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 Sn(q). We point out two physically relevant effects that should be easily observed in atomic experiments: a delay time for the onset of Sn(q) which grows linearly with |Δq| (the difference between the charge q and its mean value) and an effective equipartition when |Δq| is much smaller than the subsystem size.

Quasiparticle dynamics of symmetry-resolved entanglement after a quench: Examples of conformal field theories and free fermions / Parez, G.; Bonsignori, R.; Calabrese, P.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 103:4(2021), pp. 1-7. [10.1103/PhysRevB.103.L041104]

Quasiparticle dynamics of symmetry-resolved entanglement after a quench: Examples of conformal field theories and free fermions

Bonsignori R.;Calabrese P.
2021-01-01

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 Sn(q). We point out two physically relevant effects that should be easily observed in atomic experiments: a delay time for the onset of Sn(q) which grows linearly with |Δq| (the difference between the charge q and its mean value) and an effective equipartition when |Δq| is much smaller than the subsystem size.
103
4
1
7
L041104
10.1103/PhysRevB.103.L041104
https://arxiv.org/abs/2010.09794
Parez, G.; Bonsignori, R.; Calabrese, P.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/124972
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