Efficient Monte Carlo simulation of a dissipative Ising chain

Efficient Monte Carlo simulation of a dissipative Ising chain

We numerically study the dissipative transverse field Ising model in a bosonic bath with Ohmic spectral density. We present Monte Carlo techniques for studying this model in previously inaccessible regimes of strong frustration. We then consider a well-studied limit of this model, infinite-separatio...

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Bibliographic Details
Published in:AIP advances Vol. 8; no. 10; pp. 101415 - 101415-7
Main Authors: Butcher, Matthew W., Pixley, J. H., Nevidomskyy, Andriy H.
Format: Journal Article
Language:English
Published: Melville American Institute of Physics 01-10-2018
AIP Publishing LLC
Subjects:
Computer simulation
Dissipation
Ising model
Mathematical models
Monte Carlo simulation
Online Access:Get full text
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Summary:We numerically study the dissipative transverse field Ising model in a bosonic bath with Ohmic spectral density. We present Monte Carlo techniques for studying this model in previously inaccessible regimes of strong frustration. We then consider a well-studied limit of this model, infinite-separation, and further show that even for finite separations there is no magnetic ordering associated with the case of an infinite bath cutoff frequency. We discuss future applications for the Monte Carlo method.
ISSN:2158-3226
2158-3226
DOI:10.1063/1.5043096