Quantum-enhanced sensing based on time reversal of entangling interactions. (2018)

• Record Type: Book
• Further Information: Note: Daniel Linnemann.
• Authors: Linnemann, Daniel
• Contents: Intro; Supervisor's Foreword; Abstract; Acknowledgements; Contents; 1 Introduction; 1.1 Quantum Technologies; 1.2 Quantum-Enhanced Measurements; 1.3 Quantum Mechanical Limits on Phase Sensitivity; 1.4 Tailorable Nonlinear Amplifier for Entanglement Generation; 1.5 Quantum-Enhanced Interferometry with Linear Readout; 1.6 Advantage of Amplifying Nonlinear Readout; 1.7 Organisation of this Thesis; 1.8 Publication List; 1.9 Overview of Related Experiments; References; Part I Theoretical Basics; 2 Quantum Mechanical Spin; 2.1 A Spin-1/2 System; 2.2 A Spin-1 System; References. 3 Hamiltonian of a Spin-1 Bose-Einstein Condensate3.1 Spinor BEC in a Single Spatial Mode; 3.2 Collisional Interactions; 3.3 Hamiltonian; 3.4 Mean-Field Description and Classical Phase Space; 3.5 Fluctuations; 3.6 The Wigner Function as a Quasiprobability Distribution; 3.7 Simulation Method Based on the Wigner Function; 3.8 Visualisation of the Quantum Dynamics; 3.9 Mexican Hat Analogy of Increased Spin Fluctuations; 3.10 Comparison to Spin Squeezing of a Two-Level System; References; Part II Concepts of Time Reversal Interferometry; 4 Spin Exchange as an Amplifier. 4.1 Undepleted Pump Approximation4.2 Parametric Amplification in Quantum Optics; 4.3 Optical Phase Matching and Atomic Resonance Condition; 4.4 Correspondence Between Atomic Spin Squeezing and Optical Two-Mode Squeezing; 4.5 Population Statistics Generated by Parametric Amplification; 4.6 Amplification of Vacuum Fluctuations; 4.7 Tailorable Hamiltonian; 4.8 Interferometry Based on Time Reversal; References; 5 Interferometry Concept Within the SU(1, 1) Framework; 5.1 SU(1, 1) Operators; 5.2 Comparison to Passive SU(2) Interferometers; 5.3 Phase of the Coupling Mechanism. 5.4 Hamiltonian in SU(1, 1) Representation5.5 Coherent States of SU(1, 1) and SU(2); References; Part III Experimental Platform; 6 Experimental System and Manipulation Techniques; 6.1 Bose-Einstein Condensate; 6.2 Optical Trapping Setup; 6.3 Effective Spin-1 System; 6.4 Microwave Dressing; 6.5 Gradients; 6.6 Residual Couplings Out of the Effective Spin-1 System; 6.7 Pump Mode Shelving; 6.8 Phase Imprint; 6.9 State Preparation; 6.10 Detection; 6.11 Data Analysis; 6.12 Interleaved Control Measurements; References; Part IV Experimental Results; 7 State and Process Characterisation. 7.1 Experimental Signatures of Parametric Amplification7.2 Nonlinear Coupling Strength; 7.3 Atom Loss; 7.4 Detuning and Comparison to Numerical Simulation; 7.5 Number Fluctuations; 7.6 Number Fluctuations and Phase Dependence; 7.7 Effects of Pump Depletion; 7.8 Influence of a Seed; References; 8 Quantum-Enhanced Sensing Based on Time Reversal; 8.1 Time Reversal; 8.2 Noiseless Amplification; 8.3 Interferometry Fringe; 8.4 Population Distribution; 8.5 Variance Fringe; 8.6 Quantum-Enhanced Phase Sensitivity; 8.7 Fringe Enhancement and Noise Suppression.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 530.12; Physics; Quantum theory; Quantum entanglement; SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Quantum entanglement; Quantum theory; Computers -- Information Technology; Science -- Quantum Theory; Quantum physics (quantum mechanics & quantum field theory); Atomic & molecular physics; Electronic books
• Languages: English
• ISBNs: 9783319960081; 3319960083
• Related ISBNs: 9783319960074; 3319960075
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed August 2, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
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