Collapse in ultracold Bose Josephson junctions

Abstract

We investigate how ultracold atoms in double well potentials can be used to study and put bounds on models describing wave function collapse. We refer in particular to the continuous spontaneous localization (CSL) model, which is the most well studied among dynamical reduction models. It modifies the Schrodinger equation in order to include the collapse of the wave function in its dynamics. We consider Bose Josephson junctions, where ultracold bosons are trapped in a double well potential,since they can be experimentally controlled with high accuracy and are suited and used to study macroscopic quantum phenomena on scale of microns with a number of particles typically ranging from $\sim 10^2-10^3$ to $\sim 10^5-10^6$. We study the CSL dynamics of three atomic states showing macroscopic quantum coherence: the atomic coherent state, the superposition of two atomic coherent states, and the NOON state. We show that for the last two states the suppression of quantum coherence induced by CSL model increases exponentially with the number of atoms. We observe that, in the case of optically trapped atoms, the spontaneous photon emission of the atoms induce a dynamics similar to the CSL one and we conclude that magnetically trapped atoms may be more convenient to experimentally test the CSL model. We finally discuss decoherence effects in order to provide reasonable estimates on the bounds that it is (or it will) possible to obtain for the parameters of the CSL model in such class of experiments: as an example, we show that a NOON state with $N\sim 10^3$ with a coherence time of $\sim 1$ s can constrain the CSL parameters in a region where the other systems presently cannot.

arXiv comment14 pages, 3 figures. Minor corrections updated. Accepted by Physical Review A

References in corpus (41)

• Many-Body Physics with Ultracold Gases
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Atom Interferometers
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Josephson Junction Arrays with Bose-Einstein Condensates
• Matter-wave interferometry in a double well on an atom chip
• Dynamical Reduction Models
• Atom interferometry with Bose-Einstein condensates in a double-well potential
• Quantum Superposition States of Bose-Einstein Condensates
• Twin matter waves for interferometry beyond the classical limit
• Classical bifurcation at the transition from Rabi to Josephson dynamics
• Long Phase Coherence Time and Number Squeezing of two Bose-Einstein Condensates on an Atom Chip
• Three-body recombination of ultra-cold atoms to a weakly bound $s$ level
• Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
• Lower and Upper Bounds on CSL Parameters from Latent Image Formation and IGM Heating
• Bell Correlations in a Bose-Einstein Condensate
• Matter wave lensing to picokelvin temperatures
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• Nonlinear Tight-Binding Approximation for Bose-Einstein Condensates in a Lattice
• Josephson effect in fermionic superfluids across the BEC-BCS crossover
• Experimental bounds on collapse models from gravitational wave detectors
• Dynamics of a tunable superfluid junction
• Upper bounds on spontaneous wave-function collapse models using millikelvin-cooled nanocantilevers
• 0.75 atoms improve the clock signal of 10,000 atoms
• Observation of Quantum Phase Transitions with Parity-Symmetry Breaking and Hysteresis
• Heating of trapped ultracold atoms by collapse dynamics
• Bounds on collapse models from cold-atom experiments
• Number squeezing, quantum fluctuations and oscillations in mesoscopic Bose Josephson junctions
• Decoherence in Bose-Einstein Condensates: towards Bigger and Better Schroedinger Cats
• Phase Dynamics of Bose-Einstein Condensates: Losses versus Revivals
• Decoherence due to three-body loss and its effect on the state of a Bose-Einstein condensate
• Observable Signature of the Berezinskii-Kosterlitz-Thouless Transition in a Planar Lattice of Bose-Einstein Condensates
• Effect of phase noise on useful quantum correlations in Bose Josephson junctions
• Two-mode effective interaction in a double-well condensate
• Spontaneously emitted X-rays: an experimental signature of the dynamical reduction models
• Creation of macroscopic quantum superposition states by a measurement
• Relative Phase and Josephson Dynamics between Weakly Coupled Richardson Models

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• Testing collapse models with Bose-Einstein-Condensate interferometry
• Can the displacemon device test objective collapse models?
• Sensing spontaneous collapse and decoherence with interfering Bose-Einstein condensates
• Number-phase uncertainty and quantum dynamics of bosons and fermions interacting with a finite range and large scattering length in a double-well potential
• New avenues for testing collapse models