Squeezing and overcoming the Heisenberg scaling with spin-orbit coupled quantum gases

Abstract

We predict that exploiting spin-orbit coupling in a harmonically trapped spinor quantum gas can lead to scaling of the optimal measurement precision beyond the Heisenberg scaling. We show that quadratic scaling with the number of atoms can be facilitated via squeezed center-of-mass excitations of the atomic motion using a 1D spin-orbit coupled fermions or strongly interacting bosons (Tonks-Girardeau gas). Based on predictions derived from analytic calculations of the corresponding quantum Fisher information, we then introduce a protocol which overcomes the Heisenberg scaling (and limit) with help of a tailored excited and entangled many-body state of a non-interacting Bose-Einstein condensate. We identify corresponding optimal measurements and argue that even finite temperature as a source of decoherence is, in principle, rather favorable for the obtainable precision scaling.

9 pages, 1 figure. Feedback and comments are greatly appreciated

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• Enhanced metrology at the critical point of a many-body Rydberg atomic system
• Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
• One- and two-axis squeezing via laser coupling in an atomic Fermi-Hubbard model
• Mechanical squeezing via unstable dynamics in a microcavity
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• Uncertain Quantum Critical Metrology: From Single to Multi Parameter Sensing
• Metrological symmetries in singular quantum multi-parameter estimation
• Combining Squeezing and Transition Sensitivity Resources for Quantum Metrology by Asymmetric Non-Linear Rabi model
• Critical Quantum Sensing: a tutorial on parameter estimation near quantum phase transitions
• Upgrading Quantum Metrology by Combined Sensitivity Resources in Mixed Linear-Nonlinear Light-Matter Interactions with Bias Field
• Globalized Nonlinear Critical Quantum Metrology by Two-photon Rabi-Stark model
• Quantum Metrology in the Ultrastrong Coupling Regime of Light-Matter Interactions: Leveraging Virtual Excitations without Extracting Them
• Phonon-induced two-axis spin squeezing with decoherence reduction in hybrid spin-optomechanical system