Full counting statistics of the interference contrast from independent Bose-Einstein condensates
arXiv:1009.4844 · doi:10.1103/PhysRevA.82.053622
Abstract
We show that the visibility in interference experiments with Bose-Einstein condensates is directly related to the condensate fraction. The probability distribution of the contrast over many runs of an interference experiment thus gives the full counting statistics of the condensed atom number. For two-dimensional Bose gases, we discuss the universal behavior of the probability distribution in the superfluid regime and provide analytical expressions for the distributions for both homogeneous and harmonically trapped samples. They are non-Gaussian and unimodal with a variance that is directly related to the superfluid density. In general, the visibility is a self-averaging observable only in the presence of long range phase coherence. Close to the transition temperature, the visibility distribution reflects the universal order parameter distribution in the vicinity of the critical point.
References in corpus (25)
- Many-Body Physics with Ultracold Gases
- Berezinskii-Kosterlitz-Thouless Crossover in a Trapped Atomic Gas
- Collective excitations of a trapped Bose-condensed gas
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Regimes of quantum degeneracy in trapped 1D gases
- Bose-Einstein condensation in quasi2D trapped gases
- Interatomic collisions in a tightly confined Bose gas
- Critical behavior of the three-dimensional XY universality class
- Probing quantum and thermal noise in an interacting many-body system
- Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
- Observation of a 2D Bose-gas: from thermal to quasi-condensate to superfluid
- Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region
- Critical Behavior of a Trapped Interacting Bose Gas
- Interference between independent fluctuating condensates
- Critical Point of an Interacting Two-Dimensional Atomic Bose Gas
- Full quantum distribution of contrast in interference experiments between interacting one dimensional Bose liquids
- Anomalous fluctuations of the condensate in interacting Bose gases
- Anomalous fluctuations in phases with a broken continuous symmetry
- The equilibrium state of a trapped two-dimensional Bose gas
- Measuring the Superfluid Fraction of an Ultracold Atomic Gas
- High Precision Measurement of the Thermal Exponent for the Three-Dimensional XY Universality Class
- Hybrid 2D surface trap for quantum simulation
- Anomalous condensate fluctuations in strongly interacting superfluids
- Mapping of Coulomb gases and sine-Gordon models to statistics of random surfaces
- Shot noise of interference between independent atomic systems
Cited by in corpus (12)
- Full counting statistics of time of flight images
- Projective phase measurements in one-dimensional Bose gases
- Quantum phases of hard-core bosons in a frustrated honeycomb lattice
- Coherent splitting of two-dimensional Bose gases in magnetic potentials
- Relevance of Bose-Einstein Condensation to the Interference of Two Independent Bose Gases
- Parallel multicomponent interferometer with a spinor Bose-Einstein condensate
- Homodyne detection of matter-wave fields (shortened)
- Quantum Simulations with Bilayer 2D Bose Gases in Multiple-RF-dressed Potentials
- Out-of-equilibrium full counting statistics in Gaussian theories of quantum magnets
- Full-counting statistics of particle distribution on a digital quantum computer
- Anomalous fluctuations of Bose-Einstein condensates in optical lattices
- Quantum stochastic description of collisions in a canonical Bose gas