Quantum anomaly, universal relations, and breathing mode of a two-dimensional Fermi gas
arXiv:1112.1384 · doi:10.1103/PhysRevLett.108.185303
Abstract
In this Letter, we show that the classical SO(2,1) symmetry of a harmonically trapped Fermi gas in two dimensions is broken by quantum effects. The anomalous correction to the symmetry algebra is given by a two-body operator that is well known as the contact. Taking into account this modification, we are able to derive the virial theorem for the system and a universal relation for the pressure of a homogeneous gas. The existence of an undamped breathing mode is associated with the classical symmetry. We provide an estimate for the anomalous frequency shift of this oscillation at zero temperature and compare the result with a recent experiment by [E. Vogt et al., Phys. Rev. Lett. 108, 070404 (2012)]. Discrepancies are attributed to finite temperature effects.
5 pages, 1 figure; v3: published version
References in corpus (14)
- Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas
- Nonrelativistic conformal field theories
- Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion
- Observation of a pairing pseudogap in a two-dimensional Fermi gas
- Radiofrequency spectroscopy of a strongly interacting two-dimensional Fermi gas
- Evolution of Fermion Pairing from Three to Two Dimensions
- Scale invariance and viscosity of a two-dimensional Fermi gas
- Exact Relations for a Strongly-interacting Fermi Gas near a Feshbach Resonance
- Virial theorems for trapped cold atoms
- Universal relations for the two-dimensional spin-1/2 Fermi gas with contact interactions
- Clock shift in a strongly interacting two-dimensional Fermi gas
- Shear viscosity and spin diffusion coefficient of a two-dimensional Fermi gas
- Anomalous Commutator Algebra for Conformal Quantum Mechanics
- On Non-Relativistic Conformal Field Theory and Trapped Atoms: Virial Theorems and the State-Operator Correspondence in Three Dimensions
Cited by in corpus (88)
- Comparing and contrasting nuclei and cold atomic gases
- Thermodynamics of an attractive 2D Fermi gas
- Quantum fluctuations in the BCS-BEC crossover of two-dimensional Fermi gases
- Plasmon signature in Dirac-Weyl liquids
- Observation of the Efimovian Expansion in Scale Invariant Fermi Gases
- Pressure, compressibility, and contact of the two-dimensional attractive Fermi gas
- Anomalous breaking of scale invariance in a two-dimensional Fermi gas
- Apparent low-energy scale invariance in two-dimensional Fermi gases
- Observation of quantum-limited spin transport in strongly interacting two-dimensional Fermi gases
- Universal properties of Fermi gases in arbitrary dimensions
- Quantum anomaly and 2D-3D crossover in strongly interacting Fermi gases
- Quantum scale anomaly and spatial coherence in a 2D Fermi superfluid
- Scale breaking and fluid dynamics in a dilute two-dimensional Fermi gas
- Bulk viscosity and contact correlations in attractive Fermi gases
- High-temperature expansion of the viscosity in interacting quantum gases
- Breathing mode of two-dimensional atomic Fermi gases in harmonic traps
- Pairing effects in the non-degenerate limit of the two-dimensional Fermi gas
- Reduced quantum anomaly in a quasi-2D Fermi superfluid: The significance of the confinement-induced effective range of interactions
- Quantum anomaly and thermodynamics of one-dimensional fermions with three-body interactions
- SU(1,1) echoes for breathers in quantum gases
- Strongly Interacting p-wave Fermi Gas in Two-Dimensions: Universal Relations and Breathing Mode
- Fermi-to-Bose crossover in a trapped quasi-2D gas of fermionic atoms
- Collective modes of a two-dimensional spin-1/2 Fermi gas in a harmonic trap
- Comparative study of one-dimensional Bose and Fermi gases with contact interactions from the viewpoint of universal relations for correlation functions
- On a scale-invariant Fermi gas in a time-dependent harmonic potential
- Ground state of the two-dimensional attractive Fermi gas: essential properties from few- to many-body
- Hydrodynamics with spacetime-dependent scattering length
- Virial expansion for the Tan contact and Beth-Uhlenbeck formula from 2D SO(2,1) anomalies
- Cooper Triples in Attractive Three-Component Fermions: Implication for Hadron-Quark Crossover
- Tan's two-body contact across the superfluid transition of a planar Bose gas
- Quantum Many-Body Conformal Dynamics: Symmetries, Geometry, Conformal Tower States, and Entropy Production
- Two-dimensional short-range interacting attractive and repulsive Fermi gases at zero temperature
- Anomalous frequency shifts in a one-dimensional trapped Bose gas
- Collective modes of ultracold fermionic alkaline-earth gases with SU(N) symmetry
- Collective modes of a two-dimensional Fermi gas at finite temperature
- Fermi-Fermi crossover in the ground state of 1D few-body systems with anomalous three-body interactions
- Path-Integral Fujikawa's Approach to Anomalous Virial Theorems and Equations of State for Systems with Symmetry
- Few-body perspective of a quantum anomaly in two-dimensional Fermi gases
- Universal relations for dipolar quantum gases
- Dimensional Effects on the Momentum distribution of Bosonic Trimer States
- Virial Expansion for a Three-Component Fermi Gas in One Dimension: The Quantum Anomaly Correspondence
- Effective theory for ultracold strongly interacting fermionic atoms in two dimensions
- Non-Perturbative Dynamical Effects in Nearly Scale Invariant Systems: The Action of Breaking Scale Invariance
- Thermodynamics and static response of anomalous 1D fermions via quantum Monte Carlo in the worldline representation
- Breathing mode frequency of a strongly interacting Fermi gas across the 2D-3D dimensional crossover
- The Operator Product Expansion Beyond Leading Order for Two-Component Fermions
- Breakdown of the scale invariance in the vicinity of Tonks-Girardeau gas
- Emergent s-wave interactions between identical fermions in quasi-one-dimensional geometries
- Dynamics of strongly interacting Fermi gases with time-dependent interactions: Consequence of conformal symmetry
- Quantum Dynamics of Cold Atomic Gas with Symmetry
- Nonrelativistic Conformal Invariance in Mesoscopic Two-Dimensional Fermi Gases
- A Quantum Field-Theoretical Perspective on Scale Anomalies in 1D systems with Three-Body Interactions
- Contact formalism for coupled channels
- Equilibration and Approximate Conservation Laws: Dipole Oscillations and Perfect Drag of Ultracold Atoms in a Harmonic Trap
- Pseudogap regime of a strongly interacting two-dimensional Fermi gas with and without confinement-induced effect range of interactions
- Residual bulk viscosity of a disordered 2D electron gas
- Spectral functions of the strongly interacting 3D Fermi gas
- Path-Integral Derivation of the Non-relativistic Scale Anomaly
- Role of the confinement-induced effective range on the thermodynamics of a strongly correlated Fermi gas in two dimensions
- Universal relations for hybridized - and -wave interactions from spin-orbital coupling
- Complex scaling flows in the quench dynamics of interacting particles
- Mobile Spin Impurity in an Optical Lattice
- Quantum Mass Acquisition in Spinor Bose-Einstein Condensates
- Collective excitations of a harmonically trapped, two-dimensional, spin-polarized dipolar Fermi gas in the hydrodynamic regime
- Dimensional crossover in ultracold Fermi gases from Functional Renormalisation
- Viscosity spectral function of a scale invariant non-relativistic fluid from holography
- Resonantly interacting -wave Fermi superfluid in two dimensions: Tan's contact and breathing mode
- Thermodynamic contacts and breathing mode physics of 1D p-wave Fermi gases in the high temperature limit
- Particle and pair spectra for strongly correlated Fermi gases: A real-frequency solver
- Dynamical violation of scale invariance and the dilaton in a cold Fermi gas
- Emergent Infrared Conformal Dynamics in Strongly Interacting Quantum Gases
- Three-body contact for fermions. I. General relations
- Large-momentun tail of one-dimensional Fermi gases with spin-orbit coupling
- Dynamic virial theorem at nonequilibrium and applications
- Classical Dynamics of Harmonically Trapped Interacting Particles
- Scale Invariance in the Lowest Landau Level
- Dilational Symmetry-Breaking in Thermodynamics
- Relationship between Fujikawa's Method and the Background Field Method for the Scale Anomaly
- Bose and Fermi Statistics and the Regularization of the Nonrelativistic Jacobian for the Scale Anomaly
- Universal Properties of Anisotropic Dipolar Bosons in Two Dimensions
- Hydrodynamic attractor in periodically driven ultracold quantum gases
- Scale and conformal invariance in rotating interacting few-fermion systems
- Corrections to reaction-diffusion dynamics above the upper critical dimension
- Echoes and defects in the Calogero model
- Scale Invariant Dynamics and Universal Quantum Beats in Bose Gases
- Dilaton in a cold Fermi gas
- Small amplitude collective modes of a finite-size unitary Fermi gas in deformed traps
- BCS-BEC crossover in a quasi-two-dimensional Fermi superfluid