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Open Quantum Systems Decoherence Quantum Simulation

Trans-series for the ground state density and Generalized Bloch equation

arXiv
Authors: Edward Shuryak, Alexander V Turbiner

Year

2018

Paper ID

24338

Status

Preprint

Abstract Read

~2 min

Abstract Words

97

Citations

N/A

Abstract

Based on Generalized Bloch equation the trans-series expansion for the phase (exponent) of the ground state density for double-well potential is constructed. It is shown that the leading and next-to-leading semiclassical terms are still defined by the flucton trajectory (its classical action) and quadratic fluctuations (the determinant), respectively, while the the next-to-next-to-leading correction (at large distances) is of non-perturbative nature. It comes from the fact that all flucton plus multi-instanton, instanton-anti-instanton classical trajectories lead to the same classical action behavior at large distances! This correction is proportional to sum of all leading instanton contributions to energy gap.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2018 reference point for readers tracking recent quantum research.
  • Based on Generalized Bloch equation the trans-series expansion for the phase (exponent) of the ground state density for double-well potential is constructed.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1810.00342 [2] arXiv https://arxiv.org/abs/1810.00342 [3] Publisher https://arxiv.org/abs/1810.00342

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