Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field

TL;DR

This paper investigates how dissipation affects the quantum phase transition in a one-dimensional Ising spin chain in a transverse magnetic field, revealing a new form of quantum criticality through Monte Carlo simulations.

Contribution

It introduces a detailed analysis of the phase diagram and critical exponents for a dissipative Ising model, highlighting the altered nature of the quantum phase transition due to dissipation.

Findings

Dissipation radically changes the quantum phase transition character.

The phase diagram exhibits new quantum critical behavior.

Monte Carlo simulations successfully determine critical exponents.

Abstract

We consider a one-dimensional Ising model in a transverse magnetic field coupled to a dissipative heat bath. The phase diagram and the critical exponents are determined from extensive Monte Carlo simulations. It is shown that the character of the quantum phase transition is radically altered from the corresponding non-dissipative model and the double-well coupled to a dissipative heat bath with linear friction. Spatial couplings and the dissipative dynamics combine to form a new quantum criticality.