Twist-and-turn dynamics of spin squeezing in bosonic Josephson junctions: Enhanced shortcuts-to-adiabaticity approach

Abstract

The twist-and-turn dynamics of spin squeezing results from the interplay of the one-axis-twisting (nonlinear in the collective-spin operators) and the transverse-field turning (linear) term in the underlying Lipkin-Meshkov-Glick-type Hamiltonian, both with constant (time-independent) prefactors. Using shortcuts to adiabaticity (STA) and the recently developed enhanced version thereof (eSTA), we demonstrate here that dynamics of this type can be utilized for a fast and robust preparation of spin-squeezed states in internal bosonic Josephson junctions, i.e., condensates of cold bosonic atoms in two different internal (hyperfine) states (single-boson modes) coupled through Rabi rotations. Assuming that the initial state of this system is its ground state for a given initial value of the (time-dependent) linear coupling strength and that the nonlinear coupling strength remains constant, we set out to determine the time dependence of the linear (Rabi) coupling strength that allows for the generation of spin-squeezed states using the STA- and eSTA-based approaches. We then characterize the modified twist-and-turn dynamics of this system by evaluating the coherent spin-squeezing and number-squeezing parameters, as well as the fidelity of the target spin-squeezed states. In this way, we show that the eSTA approach allows for a particularly robust realization of strongly spin-squeezed states in this system, consistently outperforming its adiabatic and STA-based counterparts, even for systems with several hundred particles. Our method could also be employed for the generation of metrologically-useful non-Gaussian states.

final, published version

References in corpus (33)

• Nonlinear atom interferometer surpasses classical precision limit
• Squeezing and entanglement in a Bose-Einstein condensate
• Shortcut to adiabatic passage in two and three level atoms
• Fisher Information and entanglement of non-Gaussian spin states
• Fast atomic transport without vibrational heating
• Spin squeezing, entanglement and quantum metrology with Bose-Einstein condensates
• Incommensurate superfluidity of bosons in a double-well optical lattice
• Fast generation of spin-squeezed states in bosonic Josephson junctions
• Generation of long-lived $W$ states via reservoir engineering in dissipatively coupled systems
• Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
• One-photon Solutions to Multiqubit Multimode quantum Rabi model
• Bare-Excitation Ground State of a Spinless-Fermion -- Boson Model and $W$-State Engineering in an Array of Superconducting Qubits and Resonators
• Scalable $W$-type entanglement resource in neutral-atom arrays with Rydberg-dressed resonant dipole-dipole interaction
• Conversion from $W$ to Greenberger-Horne-Zeilinger states in the Rydberg-blockade regime of neutral-atom systems: Dynamical-symmetry-based approach
• Superfluid drag of two-species Bose-Einstein condensates in optical lattices
• Dicke-state preparation through global transverse control of Ising-coupled qubits
• Efficient Generation of Spin Cat States
• Generating Bell states and $N$-partite $W$ states of long-distance qubits in superconducting waveguide QED
• Noise Sensitivities for an Atom Shuttled by a Moving Optical Lattice via Shortcuts to Adiabaticity
• Dynamical generation of chiral $W$ and Greenberger-Horne-Zeilinger states in laser-controlled Rydberg-atom trimers
• Quantum dynamics of the small-polaron formation in a superconducting analog simulator
• Quantum-brachistochrone approach to the conversion from $W$ to Greenberger-Horne-Zeilinger states for Rydberg-atom qubits
• Interconversion of $W$ and Greenberger-Horne-Zeilinger states for Ising-coupled qubits with transverse global control
• Dynamical blockade in a bosonic Josephson junction using optimal coupling
• Unified generation and fast emission of arbitrary single-photon multimode $W$ states
• Robustness of Enhanced Shortcuts to Adiabaticity in Lattice Transport
• Robust topological feature against non-Hermiticity in Jaynes-Cummings Model
• Spin squeezing in internal bosonic Josephson junctions via enhanced shortcuts to adiabaticity
• Squeezing oscillations in a multimode bosonic Josephson junction
• Spin Winding and Topological Nature of Transitions in Jaynes-Cummings Model with Stark Non-linear Coupling
• High fidelity control of a many-body Tonks--Girardeau gas with an effective mean-field approach
• Improved anharmonic trap expansion through enhanced shortcuts to adiabaticity
• Fast transport of Bose-Einstein condensates in anharmonic traps

Cited by in corpus (5)

• Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
• Non-stabilizerness in quantum-enhanced metrological protocols
• Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
• Multimode NOON-state generation with ultracold atoms via geodesic counterdiabatic driving
• Characterization and generation of a SQL-beating catlike state through repetitive measurements