Dynamical Singularities of Glassy Systems in a Quantum Quench

Abstract

We present a prototype of behavior of glassy systems driven by quantum dynamics in a quenching protocol by analyzing the random energy model in a transverse field. We calculate several types of dynamical quantum amplitude and find a freezing transition at some critical time. The behavior is understood by the partition-function zeros in the complex temperature plane. We discuss the properties of the freezing phase as a dynamical chaotic phase, which are contrasted to those of the spin-glass phase in the static system.

6 pages, 5 figures

References in corpus (5)

• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Mathematical Foundation of Quantum Annealing
• Simple Glass Models and their Quantum Annealing
• A Quantum Approach to Classical Statistical Mechanics
• Phase diagram of the $p$-spin-interacting spin glass with ferromagnetic bias and a transverse field in the infinite-$p$ limit

Cited by in corpus (3)

• Topological classification of dynamical phase transitions
• Quenching a Quantum Critical State by the Order Parameter: Dynamical Quantum Phase Transitions and Quantum Speed Limits
• Zeros and amoebas of partition functions