Interferometric sensitivity and entanglement by scanning through quantum phase transitions in spinor Bose-Einstein condensates

Abstract

Recent experiments have demonstrated the generation of entanglement by quasi-adiabatically driving through quantum phase transitions of a ferromagnetic spin-1 Bose-Einstein condensate in the presence of a tunable quadratic Zeeman shift. We analyze, in terms of the Fisher information, the interferometric value of the entanglement accessible by this approach. In addition to the Twin-Fock phase studied experimentally, we unveil a second regime, in the broken axisymmetry phase, which provides Heisenberg scaling of the quantum Fisher information and can be reached on shorter time scales. We identify optimal unitary transformations and an experimentally feasible optimal measurement prescription that maximize the interferometric sensitivity. We further ascertain that the Fisher information is robust with respect to non-adiabaticity and measurement noise. Finally, we show that the quasi-adiabatic entanglement preparation schemes admit higher sensitivities than dynamical methods based on fast quenches.

11 pages, 6 figures

References in corpus (8)

• Atom Interferometers
• Twin matter waves for interferometry beyond the classical limit
• Detecting multiparticle entanglement of Dicke states
• Deterministic entanglement generation from driving through quantum phase transitions
• Efficient entanglement criteria for discrete, continuous, and hybrid variables
• Precise measurements on a quantum phase transition in antiferromagnetic spinor Bose-Einstein condensates
• Heralded Generation of Macroscopic Superposition States in a Spinor Bose-Einstein Condensate
• Active SU(1,1) atom interferometry

Cited by in corpus (19)

• Verification of a many-ion simulator of the Dicke model through slow quenches across a phase transition
• Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
• Momentum Entanglement for Atom Interferometry
• Using Interaction-Based Readouts to Approach the Ultimate Limit of Detection Noise Robustness for Quantum-Enhanced Metrology in Collective Spin Systems
• Excited-state quantum phase transitions in spinor Bose-Einstein condensates
• Supersensitive quantum sensor based on criticality in an antiferromagnetic spinor condensate
• Entanglement detection in quantum many-body systems using entropic uncertainty relations
• Heralded Generation of Macroscopic Superposition States in a Spinor Bose-Einstein Condensate
• Experimentally accessible bounds on distillable entanglement from entropic uncertainty relations
• Efficient generation of many-body entangled states by multilevel oscillations
• Superadiabatic generation of cat states in bosonic Josephson junctions under particle losses
• Optimal atomic interferometry robust to detection noise using spin-1 atomic condensates
• Rapid production of many-body entanglement in spin-1 atoms via cavity output photon counting
• Efficient two-mode interferometers with spinor Bose-Einstein condensates
• Exploring the thermodynamics of spin-1 ${}^{87}$Rb Bose Gases with synthetic magnetization
• Multifractality and excited-state quantum phase transition in ferromagnetic spin-$1$ Bose-Einstein condensates
• General spin systems without genuinely multipartite nonlocality
• Twist-and-store entanglement in bimodal and spin-1 Bose-Einstein condensates
• Characterizing dynamical phase transitions in a spinor Bose-Einstein condensate via quantum and semiclassical analyses