Static nonlinear Schrödinger equations for the achiral-chiral transitions of polar chiral molecules

Chong Ye, Quansheng Zhang, and Yong Li
Phys. Rev. A 99, 062703 – Published 12 June 2019

Abstract

In the mean-field theory, the stabilization of polar chiral molecules is understood as a quantum phase transition where the mean-field ground state of molecules changes from the achiral eigenstate of the molecular Hamiltonian to one of the degenerated chiral states as the increase of the intermolecular interaction. Starting from the many-body Hamiltonian of the molecular gases with electric dipole-dipole interactions, we give the static nonlinear Schrödinger equations without free parameters to explore the achiral-chiral transitions of polar chiral molecules. We find that the polar chiral molecules of different species can be classified into two categories: At the critical point for the achiral-chiral transition, the mean-field ground state changes continuously in one category and changes discontinuously in the other category. We further give the mean-field phase diagram of the achiral-chiral transitions for both two categories.

  • Figure
  • Figure
  • Received 20 November 2018
  • Revised 11 March 2019

DOI:https://doi.org/10.1103/PhysRevA.99.062703

©2019 American Physical Society

Physics Subject Headings (PhySH)

  1. Physical Systems
Atomic, Molecular & Optical

Authors & Affiliations

Chong Ye1, Quansheng Zhang1, and Yong Li1,2,*

  • 1Beijing Computational Science Research Center, Beijing 100193, China
  • 2Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

  • *liyong@csrc.ac.cn

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Vol. 99, Iss. 6 — June 2019

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