DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Bosonic Superfluid on the Lowest Landau Level

Journal Article · · Physical Review Letters
 [1];  [2]
  1. Technical Univ. of Munich (Germany); Munich Center for Quantum Science and Technology (MCQST) (Germany); University of Chicago
  2. Univ. of Chicago, IL (United States)

We develop a low-energy effective field theory of a two-dimensional bosonic superfluid on the lowest Landau level at zero temperature and identify a Berry term that governs the dynamics of coarse-grained superfluid degrees of freedom. For an infinite vortex crystal we compute how the Berry term affects the low-energy spectrum of soft collective Tkachenko oscillations and nondissipative Hall responses of the particle number current and stress tensor. This term gives rise to a quadratic in momentum term in the Hall conductivity, but does not generate a nondissipative Hall viscosity.

Research Organization:
Univ. of Chicago, IL (United States)
Sponsoring Organization:
USDOE; USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
Grant/Contract Number:
SC0009924
OSTI ID:
1593854
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 23 Vol. 122; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (44)

Diamagnetismus der Metalle journal September 1930
Mandelstam-'t Hooft duality in abelian lattice models journal July 1978
Odd Viscosity journal August 1998
Rapidly rotating atomic gases journal November 2008
Quantum Hall physics in rotating Bose–Einstein condensates journal February 2008
Ground state of a spin-½ charged particle in a two-dimensional magnetic field journal June 1979
Landau-level ground-state degeneracy and its relevance for a general quantization procedure journal October 1993
Vortex patterns in a fast rotating Bose-Einstein condensate journal February 2005
Ground state and Tkachenko modes of a rapidly rotating Bose-Einstein condensate in the lowest-Landau-level state journal August 2005
Vortex lattices in Bose-Einstein condensates: From the Thomas-Fermi regime to the lowest-Landau-level regime journal February 2006
Nonuniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates journal January 2007
Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p x + i p y paired superfluids journal January 2009
Hall viscosity, orbital spin, and geometry: Paired superfluids and quantum Hall systems journal August 2011
Dissipationless phonon Hall viscosity journal June 2012
Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity journal December 2012
Effective theory of chiral two-dimensional superfluids journal May 2014
Effective theory of two-dimensional chiral superfluids: Gauge duality and Newton-Cartan formulation journal February 2015
Spacetime symmetries of the quantum Hall effect journal February 2015
Hall Viscosity and Electromagnetic Response journal February 2012
Anomalous Hydrodynamics of Two-Dimensional Vortex Fluids journal July 2014
Phase Transition in a Lattice Model of Superconductivity journal November 1981
Viscosity of Quantum Hall Fluids journal July 1995
Bose-Einstein Condensates with Large Number of Vortices journal July 2001
Quantum Phases of Vortices in Rotating Bose-Einstein Condensates journal August 2001
Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter journal June 2002
Tkachenko Modes of Vortex Lattices in Rapidly Rotating Bose-Einstein Condensates journal September 2003
Landau Levels and the Thomas-Fermi Structure of Rapidly Rotating Bose-Einstein Condensates journal November 2004
Rotating trapped Bose-Einstein condensates journal May 2009
Tkachenko waves journal February 2014
Rotating trapped Bose-Einstein condensates journal January 2008
Bose-Einstein Condensates with Large Number of Vortices text January 2001
Quantum Phases of Vortices in Rotating Bose-Einstein Condensates text January 2001
Effective field theory of a vortex lattice in a bosonic superfluid journal January 2018
Rotating trapped Bose-Einstein condensates text January 2008
Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity text January 2012
Tkachenko waves text January 2013
Anomalous Hydrodynamics of Two-Dimensional Vortex Fluid text January 2013
Spacetime Symmetries of the Quantum Hall Effect text January 2014
Effective theory of two-dimensional chiral superfluids: gauge duality and Newton-Cartan formulation text January 2014
Bose-Einstein Condensates with Large Number of Vortices text January 2001
Quantum Melting and Absence of Bose-Einstein Condensation in Two-Dimensional Vortex Matter text January 2002
Non-uniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates text January 2006
Viscosity of Quantum Hall Fluids text January 1995
Landau Level Ground--State Degeneracy, and Its Relevance for a General Quantization Procedure text January 1993