Unitary quantum phase operators for bosons and fermions: A model study on quantum phases of interacting particles in a symmetric double-well potential
arXiv:1208.0173 · doi:10.1088/0953-4075/46/3/035501
Abstract
We introduce unitary quantum phase operators for material particles. We carry out a model study on quantum phases of interacting bosons in a symmetric double-well potential in terms of unitary and commonly-used non-unitary phase operators and compare the results for different number of bosons. We find that the results for unitary quantum phase operators are significantly different from those for non-unitary ones especially in the case of low number of bosons. We introduce unitary operators corresponding to the quantum phase-difference between two single-particle states of fermions. As an application of fermionic phase operators, we study a simple model of a pair of interacting two-component fermions in a symmetric double-well potential. We also investigate quantum phase and number fluctuations to ascertain number-phase uncertainty in terms of unitary phase operators.
22 pages 11 figures
References in corpus (22)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Entanglement of atoms via cold controlled collisions
- Time-resolved Observation and Control of Superexchange Interactions with Ultracold Atoms in Optical Lattices
- Direct Observation of Second Order Atom Tunnelling
- Atom interferometry with Bose-Einstein condensates in a double-well potential
- Controlled exchange interaction between pairs of neutral atoms in an optical lattice
- A lattice of double wells for manipulating pairs of cold atoms
- Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
- Single Particle Tunneling in Strongly Driven Double Well Potentials
- Atomic homodyne detection of continuous variable entangled twin-atom states
- Controlling Correlated Tunneling and Superexchange Interactions with AC-Driven Optical Lattices
- Preparing and probing atomic number states with an atom interferometer
- Sublattice addressing and spin-dependent motion of atoms in a double-well lattice
- Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
- Quantum Many-Body Dynamics of Coupled Double-Well Superlattices
- Tunneling dynamics of few bosons in a double well
- Incommensurate superfluidity of bosons in a double-well optical lattice
- Optical realization of the two-site Bose-Hubbard model in waveguide lattices
- Entanglement between photons and atoms coupled out from a Bose-Einstein-Condensate
- Tripartite Entanglement in a Bose Condensate by Stimulated Bragg Scattering
- Bosons in a double-well potential: Understanding the interplay between disorder and interaction in a simple model