Scaling of non-adiabaticity in disordered quench of quantum Rabi model
close to phase transition
- URL: http://arxiv.org/abs/2012.04568v1
- Date: Tue, 8 Dec 2020 17:13:58 GMT
- Title: Scaling of non-adiabaticity in disordered quench of quantum Rabi model
close to phase transition
- Authors: Chirag Srivastava and Ujjwal Sen
- Abstract summary: We analyze the response to disorder in quenches on a non-adiabaticity quantifier for the quantum Rabi model.
We find that the non-adiabatic effects are unaffected by the presence of disorder in the total time of the quench.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Dynamics of a system exhibits non-adiabaticity even for slow quenches near
critical points. We analyze the response to disorder in quenches on a
non-adiabaticity quantifier for the quantum Rabi model, which possesses a phase
transition between normal and superradiant phases. We consider a disordered
version of a quench in the Rabi model, in which the system residing in the
ground state of an initial Hamiltonian of the normal phase is quenched to the
final Hamiltonian corresponding to the critical point. The disorder is inserted
either in the total time the quench or in the quench parameter itself. We solve
the corresponding quantum dynamics numerically, and find that the non-adiabatic
effects are unaffected by the presence of disorder in the total time of the
quench. This result is then independently confirmed by the application of
adiabatic perturbation theory and the Kibble- Zurek mechanism. For the disorder
in the quench parameter, we report a monotonic increase in the adiabaticity
with the strength of the disorder. Lastly, we consider a quench where the final
Hamiltonian is chosen as the average over the disordered final Hamiltonians,
and show that this quench is more adiabatic than the average of the quenches
with the disorder in final Hamiltonian.
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