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Resummation-based Quantum Monte Carlo for quantum paramagnetic phases

by Nisheeta Desai, Sumiran Pujari

Submission summary

As Contributors: Nisheeta Desai · Sumiran Pujari
Preprint link: scipost_202105_00002v1
Date submitted: 2021-05-03 16:17
Submitted by: Desai, Nisheeta
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Condensed Matter Physics - Computational
Approaches: Theoretical, Computational

Abstract

For spin rotational symmetric models with a positive-definite high-temperature expansion of the partition function, a stochastic sampling of the series expansion upon partial resummation becomes logically equivalent to sampling an uncoloured closely-packed loop-gas model in one higher dimension. Based on this, we devise quantum Monte Carlo updates that importance-sample loop configurations for general $SU(N)$ in fundamental and higher-symmetric representations. The algorithmic performance systematically improves with increase in (continuous) $N$ allowing efficient simulation of quantum paramagnets. The underlying reason for the increased efficacy is the correspondence of quantum paramagnetic phases like valence bond solids to short-loop phases on the loop-gas side rather than the value of $N$. This also gives a connection between Sandvik's $JQ$ model class and classical loop-gas models in the deconfined universality class.

Current status:
Unassigned, awaiting editor assignment


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Submission scipost_202105_00002v1 on 3 May 2021

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