NOON state of Bose atoms in the double-well potential via an excited state quantum phase transition

Abstract

We suggest a simple scheme for creating a NOON state of repulsively interacting Bose atoms in the double-well potential. The protocol consists of two steps. First, by setting atom-atom interactions to zero, the system is driven to the upper excited state. Second, the interactions is slowly increased and, simultaneously, the inter-well tunneling is decreased to zero. We analyze fidelity of the final state to the NOON state depending on the number of atoms, ramp rate, and fluctuations of the system parameters. It is shown that for a given fidelity the ramp rate scales algebraically with the number of atoms.

8 pages, 10 figures

References in corpus (44)

• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Nonlinear atom interferometer surpasses classical precision limit
• Atom chip based generation of entanglement for quantum metrology
• Entanglement, Non-linear Dynamics, and the Heisenberg Limit
• Squeezing and entanglement in a Bose-Einstein condensate
• A Quantum Rosetta Stone for Interferometry
• Quantum Superposition States of Bose-Einstein Condensates
• Fisher Information and entanglement of non-Gaussian spin states
• Classical bifurcation at the transition from Rabi to Josephson dynamics
• Fragmentation of Bose-Einstein Condensates
• Excited state quantum phase transitions in many-body systems
• Many particle entanglement in two-component Bose-Einstein Condensates
• Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
• Spatial fragmentation of a Bose-Einstein condensate in a double-well potential
• Entanglement of two-mode Bose-Einstein condensates
• Quantum phase space picture of Bose-Einstein Condensates in a double well: Proposals for creating macroscopic quantum superposition states and a study of quantum chaos
• Observation of Quantum Phase Transitions with Parity-Symmetry Breaking and Hysteresis
• Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction
• Entanglement of Trapped-Ion Clock States
• Crossing Over from Attractive to Repulsive Interactions in a Tunneling Bosonic Josephson Junction
• Observation of quantum interference between separated mechanical oscillator wavepackets
• Dynamic splitting of a Bose-Einstein Condensate
• Spin-motion entanglement and state diagnosis with squeezed oscillator wavepackets
• Universality and Anomalous Mean-Field Breakdown of Symmetry-Breaking Transitions in A Coupled Two-Component Condensate
• Nonlinear quantum interferometry with Bose condensed atoms
• Sub Shot-Noise Phase Sensitivity with a Bose-Einstein Condensate Mach-Zehnder Interferometer
• Semiclassical approach to Bose-Einstein condensates in a triple well potential
• The Dissipative Bose-Hubbard Model. Methods and Examples
• Semiclassical quantization of an N-particle Bose-Hubbard model
• Coherence and entanglement in the ground-state of a bosonic Josephson junction:from macroscopic Schrödinger cats to separable Fock states
• Long-lived mesoscopic entanglement outside the Lamb-Dicke regime
• Dissipation induced macroscopic entanglement in an open optical lattice
• Decoherence and entanglement in a bosonic Josephson junction: Bose-enhanced quantum-Zeno control of phase-diffusion
• Coherently controlled entanglement generation in a binary Bose-Einstein condensate
• "Photonic" cat states from strongly interacting matter waves
• Demonstrating mesoscopic superpositions in double-well Bose-Einstein condensates
• Creating cat states in one-dimensional quantum walks using delocalized initial states
• Quantum phase transitions of atom-molecule Bose mixtures in a double-well potential
• Macroscopic superposition states of ultracold bosons in a double-well potential
• Optimal and near-optimal probe states for quantum metrology of number conserving two-mode bosonic Hamiltonians
• Analytical approach to the two-site Bose-Hubbard model: from Fock states to Schrödinger cat states and entanglement entropy
• Collapse in ultracold Bose Josephson junctions
• Ground state of the double-well condensate for quantum metrology

Cited by in corpus (17)

• Excited-state quantum phase transitions
• Exploring the unification of quantum theory and general relativity with a Bose-Einstein condensate
• Excited-state quantum phase transitions in systems with two degrees of freedom: III. Interacting boson systems
• Atomtronic protocol designs for NOON states
• Quantum interferometers: principles and applications
• NOON states with ultracold bosonic atoms via resonance- and chaos-assisted tunneling
• The open Bose-Hubbard chain: Pseudoclassical approach
• Distributed quantum sensing with optical lattices
• Complex density of continuum states in resonant quantum tunneling
• Accelerated creation of NOON states with ultracold atoms via counterdiabatic driving
• Two-parameter estimation with three-mode NOON state in a symmetric three-well system
• Continuum analogues of excited-state quantum phase transitions
• Chaotic and regular dynamics in the three-site Bose-Hubbard model
• Conditional Entanglement Amplification via Non-Hermitian Superradiant Dynamics
• Decay of symmetry-protected quantum states
• Josephson oscillation in the dissipative Bose-Hubbard dimer
• Multimode NOON-state generation with ultracold atoms via geodesic counterdiabatic driving