Emergent gauge field and the Lifshitz transition of spin-orbit coupled bosons in one dimension

Abstract

In the presence of strong spin-independent interactions and spin-orbit coupling, we show that the spinor Bose liquid confined to one spatial dimension undergoes an interaction- or density-tuned quantum phase transition similar to one theoretically proposed for itinerant magnetic solid-state systems. The order parameter describes broken Z2 inversion symmetry, with the ordered phase accompanied by non-vanishing momentum which is generated by fluctuations of an emergent dynamical gauge field at the phase transition. This quantum phase transition has dynamical critical exponent z ≃ 2, typical of a Lifshitz transition, but is described by a nontrivial interacting fixed point. From direct numerical simulation of the microscopic model, we extract previously unknown critical exponents for this fixed point. Our model describes a realistic situation of 1D ultracold atoms with Raman-induced spin-orbit coupling, establishing this system as a platform for studying exotic critical behavior of the Hertz-Millis type.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 16, 2019
Source ID
10.1038/s41598-019-43929-6

Entities

People

  • I. B. Spielman
  • Jay D. Sau
  • Junhyun Lee
  • Khan W. Mahmud
  • William S. Cole
  • Yahya Alavirad

Organizations

  • Air Force Office of Scientific Research
  • Alfred P. Sloan Foundation
  • National Science Foundation

Tags

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Quantum spin resonance or Electron Paramagnetic Resonance spectroscopy.

Technology Areas

  • Quantum Computing
  • Space