Quantum metrology beyond Heisenberg limit with entangled matter wave solitons

Abstract

By considering matter wave bright solitons from weakly coupled Bose-Einstein condensates trapped in a double-well potential, we study the formation of macroscopic non-classical states, including Schrödinger-cat superposition states and maximally path entangled $N00N$-states. With these macroscopic states, we examine Mach-Zehnder interferometer in the context of parity measurements, in order to obtain Heisenberg limit accuracy for linear phase shift measurement. We reveal that the ratio between two-body scattering length and intra-well hopping parameter can be measured with the scaling beyond this limit by using nonlinear phase shift with interacting quantum solitons.

7 pages, 4 figures

References in corpus (11)

• Quantum fluids of light
• Nonlinear atom interferometer surpasses classical precision limit
• Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
• Quantum Optical Metrology -- The Lowdown on High-N00N States
• Squeezing and entanglement in a Bose-Einstein condensate
• Optimal Quantum Phase Estimation
• Generalized Limits for Single-Parameter Quantum Estimation
• Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
• Quantum Metrology: Dynamics vs. Entanglement
• Polaritonic Feshbach Resonance
• Quantum Entanglement Manifestation of Transition to Nonlinear Self-trapping for Bose-Einstein Condensates in a Symmetric Double-Well

Cited by in corpus (9)

• Bounding Quantum Advantages in Postselected Metrology
• Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses
• Spinor Bose-Einstein Condensate Interferometer within the Undepleted Pump Approximation: Role of the Initial State
• Mesoscopic quantum superposition states of weakly-coupled matter-wave solitons
• Fundamental noisy multiparameter quantum bounds
• Optimal quantum phase estimation in an atomic gyroscope based on Bose-Hubbard model
• Solitonic fixed point attractors in the complex Ginzburg-Landau equation for associative memories
• Novel soliton in dipolar BEC caused by the quantum fluctuations
• Solitary waves explore the quantum-to-classical transition