Dissipative dynamics at first-order quantum transitions

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).

arXiv comment14 pages, 7 figures. Final version

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• The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
• Quantum critical systems with dissipative boundaries
• Monte Carlo matrix-product-state approach to the false vacuum decay in the monitored quantum Ising chain
• Speeding up Pontus-Mpemba effects via dynamical phase transitions
• Out-of-equilibrium scaling behavior arising during round-trip protocols across a quantum first-order transition
• Out-of-equilibrium dynamics across the first-order quantum transitions of one-dimensional quantum Ising models
• Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
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• Spinodal-like scaling behavior after a temperature quench across the first-order phase transition in three-dimensional $q$-state Potts models