Static properties of the dissipative random quantum Ising ferromagnetic chain

Abstract

We study the zero temperature static properties of dissipative ensembles of quantum Ising spins arranged on periodic one dimensional finite clusters and on an infinite chain. The spins interact ferro-magnetically with nearest-neighbour pure and random couplings. They are subject to a transverse field and coupled to an Ohmic bath of quantum harmonic oscillators. We analyze the coupled system using Monte Carlo simulations of the classical two-dimensional counterpart model. The coupling to the bath enhances the extent of the ordered phase, as found in mean-field spin-glasses. In the case of finite clusters we show that a generalization of the Caldeira-Leggett localization transition exists. In the case of the infinite random chain we study the effect of dissipation on the transition and the Griffiths phase.

21 pages, 10 figures

References in corpus (3)

• "Deconfined" quantum critical points
• Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
• Effects of dissipation on disordered quantum spin models

Cited by in corpus (10)

• Strong Randomness Fixed Point in the Dissipative Random Transverse Field Ising Model
• The quantum phase transition and correlations in the multi-spin-boson model
• Finite temperature behavior of strongly disordered quantum magnets coupled to a dissipative bath
• Percolation transition and dissipation in quantum Ising magnets
• Monte Carlo simulations of dissipative quantum Ising models
• Bath-engineering magnetic order in quantum spin chains: An analytic mapping approach
• Critical properties of dissipative quantum spin systems in finite dimensions
• The dissipative phase transition in a pair of coupled noisy two-level systems
• Coarsening of Disordered Quantum Rotors under a Bias Voltage
• Percolation transition in quantum Ising and rotor models with sub-Ohmic dissipation