Efficient Monte Carlo simulation of a dissipative Ising chain
Source abstract
Abstract
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.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Theoretical and Computational Physics · Quantum many-body systems · Opinion Dynamics and Social Influence
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Physics & Astronomy, Rice University 1 , Houston, Texas 77005, USA
Department of Physics and Astronomy, Center for Materials Theory, Rutgers University 2 , Piscataway, New Jersey 08854, USA
Funding
National Science Foundation · Welch Foundation
References (19)
Show source-provided references
1. Dynamics of the dissipative two-state system10.1103/revmodphys.59.1 ↗
2. 1999
3. Short-range quantum magnetism of ultracold fermions in an optical lattice
4. Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms10.1038/nature14223 ↗
5. A cold-atom Fermi-Hubbard antiferromagnet10.1038/nature22362 ↗
6. Dissipative quantum Ising model in a cold-atom spin-boson mixture
7. Atomic quantum dots coupled to a reservoir of a superfluid Bose-Einstein condensate
8. Influence of dissipation on quantum coherence10.1103/physrevlett.49.1545 ↗
9. Quantum fluctuations in the tunneling between superconductors10.1103/physrevlett.49.681 ↗
10. 2011
11. 2013
12. Collective Monte Carlo updating for spin systems10.1103/physrevlett.62.361 ↗
13. Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
14. Numerical evidence for spontaneously broken replica symmetry in 3D spin glasses
15. Exchange Monte Carlo method and application to spin glass simulations
16. Universality in three-dimensional Ising spin glasses: A Monte Carlo study
17. Quantum phase transition and correlations in the multi-spin-Boson model
18. Phase diagram and critical exponents of a dissipative Ising spin chain in a transverse magnetic field
19. Separation-dependent localization in a two-impurity spin-Boson model