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Open Quantum Systems Decoherence Quantum Simulation

Complex Langevin dynamics and supersymmetric quantum mechanics

DOAJ
Authors: Anosh Joseph, Arpith Kumar

Year

2021

Paper ID

38504

Status

Peer-reviewed

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

Abstract Using complex Langevin method we probe the possibility of dynamical supersymmetry breaking in supersymmetric quantum mechanics models with complex actions. The models we consider are invariant under the combined operation of parity and time reversal, in addition to supersymmetry. When actions are complex traditional Monte Carlo methods based on importance sampling fail. Models with dynamically broken supersymmetry can exhibit sign problem due to the vanishing of the partition function. Complex Langevin method can successfully evade the sign problem. Our simulations suggest that complex Langevin method can reliably predict the absence or presence of dynamical supersymmetry breaking in these one-dimensional models with complex actions.

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  • Abstract Using complex Langevin method we probe the possibility of dynamical supersymmetry breaking in supersymmetric quantum mechanics models with complex actions.

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References & Citation Signals

[1] DOI https://doi.org/10.1007/JHEP10(2021)186 [2] Publisher https://doi.org/10.1007/JHEP10(2021)186

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