We study the response of a quantum Ising chain to transverse field oscillations in the asymptotic state attained after a quantum quench. We show that for quenches across a quantum phase transition, the dissipative part of the response at low frequencies is negative, corresponding to energy emission up to a critical frequency ω∗. The latter is found to be connected to the time period t∗ of the singularities in the Loschmidt echo (t∗=2π/ω∗) signaling the presence of a dynamical quantum phase transition. This result suggests that a linear-response experiment can be used to detect this kind of phenomenon. © 2019 American Physical Society.

Dynamical phase transition in the transverse field Ising chain characterized by the transverse magnetization spectral function / Piccitto, Giulia; Silva, Alessandro. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 100:13(2019), pp. 1-5. [10.1103/PhysRevB.100.134311]

Dynamical phase transition in the transverse field Ising chain characterized by the transverse magnetization spectral function

Piccitto, Giulia
;
Silva, Alessandro
2019-01-01

Abstract

We study the response of a quantum Ising chain to transverse field oscillations in the asymptotic state attained after a quantum quench. We show that for quenches across a quantum phase transition, the dissipative part of the response at low frequencies is negative, corresponding to energy emission up to a critical frequency ω∗. The latter is found to be connected to the time period t∗ of the singularities in the Loschmidt echo (t∗=2π/ω∗) signaling the presence of a dynamical quantum phase transition. This result suggests that a linear-response experiment can be used to detect this kind of phenomenon. © 2019 American Physical Society.
2019
100
13
1
5
134311
https://doi.org/10.1103/PhysRevB.100.134311
https://journals.aps.org/prb/abstract/10.1103/PhysRevB.100.134311
https://arxiv.org/abs/1903.03439
Piccitto, Giulia; Silva, Alessandro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/110809
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