Adiabatic dynamics in open quantum critical many-body systems

TL;DR

This paper investigates how an external environment influences the adiabatic evolution of quantum critical systems, deriving a general excitation density formula and validating it with a specific quantum Ising model example.

Contribution

It introduces a scaling framework for excitation production in open quantum critical systems and confirms it through an exact solution of a 1D quantum Ising model coupled to a bath.

Findings

Derived a universal excitation density expression based on scaling arguments.

Validated the theoretical predictions with an exact solution of a quantum Ising model.

Provided insights into the role of temperature and quench velocity in open quantum systems.

Abstract

The purpose of this work is to understand the effect of an external environment on the adiabatic dynamics of a quantum critical system. By means of scaling arguments we derive a general expression for the density of excitations produced in the quench as a function of its velocity and of the temperature of the bath. We corroborate the scaling analysis by explicitly solving the case of a one-dimensional quantum Ising model coupled to an Ohmic bath.