Dissipative dynamics at first-order quantum transitions
- URL: http://arxiv.org/abs/2009.11158v2
- Date: Sat, 5 Dec 2020 18:40:54 GMT
- Title: Dissipative dynamics at first-order quantum transitions
- Authors: Giovanni Di Meglio, Davide Rossini, Ettore Vicari
- Abstract summary: This issue is studied within the paradigmatic one-dimensional quantum Ising model.
We analyze the out-of-equilibrium dynamics arising from quenches of the Hamiltonian parameters.
We observe a regime where the system develops a nontrivial dynamic scaling behavior.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the effects of dissipation on the quantum dynamics of
many-body systems at quantum transitions, especially considering those of the
first order. This issue is studied within the paradigmatic one-dimensional
quantum Ising model. We analyze the out-of-equilibrium dynamics arising from
quenches of the Hamiltonian parameters and dissipative mechanisms modeled by a
Lindblad master equation, with either local or global spin operators acting as
dissipative operators. Analogously to what happens at continuous quantum
transitions, we observe a regime where the system develops a nontrivial dynamic
scaling behavior, which is realized when the dissipation parameter $u$
(globally controlling the decay rate of the dissipation within the Lindblad
framework) scales as the energy difference $\Delta$ of the lowest levels of the
Hamiltonian, i.e., $u\sim \Delta$. However, unlike continuous quantum
transitions where $\Delta$ is power-law suppressed, at first-order quantum
transitions $\Delta$ is exponentially suppressed with increasing the system
size (provided the boundary conditions do not favor any particular phase).
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