Slow quenches in a quantum Ising chain: Dynamical phase transitions and topology

Sharma, Shraddha ; Divakaran, Uma ; Polkovnikov, Anatoli ; Dutta, Amit (2016) Slow quenches in a quantum Ising chain: Dynamical phase transitions and topology Physical Review B, 93 (14). ISSN 2469-9950

Full text not available from this repository.

Official URL:

Related URL:


We study the slow quenching dynamics (characterized by an inverse rate τ−1) of a one-dimensional transverse Ising chain with nearest neighbor ferromagentic interactions across the quantum critical point (QCP) and analyze the Loschmidt overlap measured using the subsequent temporal evolution of the final wave function (reached at the end of the quenching) with the final time-independent Hamiltonian. Studying the Fisher zeros of the corresponding generalized “partition function,” we probe nonanalyticities manifested in the rate function of the return probability known as dynamical phase transitions (DPTs). In contrast to the sudden quenching case, we show that DPTs survive in the subsequent temporal evolution following the quenching across two critical points of the model for a sufficiently slow rate; furthermore, an interesting “lobe” structure of Fisher zeros emerge. We have also made a connection to topological aspects studying the dynamical topological order parameter [νD(t)] as a function of time (t) measured from the instant when the quenching is complete. Remarkably, the time evolution of νD(t) exhibits drastically different behavior following quenches across a single QCP and two QCPs. In the former case, νD(t) increases stepwise by unity at every DPT (i.e., ΔνD=1). In the latter case, on the other hand, νD(t) essentially oscillates between 0 and 1 (i.e., successive DPTs occur with ΔνD=1 and ΔνD=−1, respectively), except for instants where it shows a sudden jump by a factor of unity when two successive DPTs carry a topological charge of the same sign.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:117177
Deposited On:16 Apr 2021 04:52
Last Modified:16 Apr 2021 04:52

Repository Staff Only: item control page