Dynamics and characterization of composite quantum systems. (2016)

• Record Type: Book
• Further Information: Note: Manuel Gessner.
• Contents: Supervisor's Foreword; Abstract; Acknowledgments; Contents; 1 Introduction; 1.1 Recent Advances and Current Challenges: A Brief Overview; 1.2 Elements of Quantum Information Theory; 1.2.1 Correlations in Composite Quantum Systems: Entanglement and Discord; 1.2.2 Role of Correlated Quantum States in Quantum Information Theory; 1.3 Controllable Quantum Systems; 1.3.1 Trapped Ions; 1.3.2 Cold Gases of Neutral Atoms in Optical Lattices; 1.3.3 Photons and (Non- )linear Optics; 1.3.4 Other Systems; 1.4 The Certification of Large-Scale Quantum Devices; 1.5 Nonlinear Spectroscopy. 1.6 Theoretical Description of Composite Quantum Systems1.6.1 Semiclassical Approximations and Mean-Field Theories; 1.6.2 Complex Systems, Spectral Analysis, and Random Matrix Theory; 1.6.3 Open Quantum Systems; 1.6.4 Identical Particles; 1.7 Quantum Phase Transitions; 1.8 Scope and Structure of This Dissertation; References; 2 Local Detection of Correlations in Composite Quantum Systems; 2.1 The Local Detection Protocol; 2.1.1 Local Witness for Bipartite Quantum Discord; 2.1.2 Local Bound for the Minimum Entanglement Potential; 2.1.3 Efficacy of the Method; 2.2 Trapped-Ion Experiment. 2.2.1 Resonant Laser-Ion Interactions2.2.2 The Effect of Small Detunings; 2.2.3 The Local Detection Protocol for the First Blue Sideband; 2.2.4 Generalization to Arbitrary Sidebands; 2.2.5 Extension of the Experimental Technique; 2.3 Photonic Experiment; 2.3.1 The Pre-initial State; 2.3.2 Preparation of the Initial State; 2.3.3 Local Dephasing Operation; 2.3.4 Reduced Distributions; 2.3.5 Total Trace Distance; 2.3.6 Open-System Evolution Depending on Initial Correlations; 2.3.7 Local Trace Distance; 2.4 Theoretical Studies of Further Examples. 2.4.1 Atom-Photon Correlations During Spontaneous Decay2.4.2 Many-Mode Extension of the Trapped-Ion Experiment: A Proposal; 2.4.3 Quantum Phase Transition in a Transverse-Field Ising Chain; 2.5 Discussion; References; 3 From Local Operations to Collective Dephasing: Behavior of Correlated Quantum States; 3.1 Creation of Quantum Discord by Local Operations; 3.2 Correlation Rank: Schmidt Decomposition for Mixed States; 3.3 Trapped-Ion Experiment; 3.3.1 Local Amplitude Damping; 3.3.2 Collective Dephasing; 3.4 General Dynamics of Collective Dephasing; 3.4.1 Kraus Representation. 3.4.2 Ensemble-Average Evolution: Interpretation and Non-Markovian Effects3.4.3 Robustness of Bipartite Entanglement; 3.4.4 Time-Invariant States: Multipartite Werner States; 3.4.5 Robustness of Multipartite Entanglement; 3.5 Discussion; References; 4 Quantum Phase Transition in a Family of Quantum Magnets; 4.1 Variable-Range Quantum Magnets: From Ising to Lipkin -- Meshkov -- Glick; 4.1.1 A One-Parameter Family of Models; 4.1.2 Special Case: Nearest-Neighbor Ising Model; 4.1.3 Special Case: Fully-Connected Lipkin -- Meshkov -- Glick Model; 4.2 Single-Spin Signatures of a Quantum Phase Transition.
• Publisher Details: Cham : Springer
• Publication Date: 2016
• Extent: 1 online resource
• Subjects: 530.12; Physics; Quantum theory; Nonlinear theories; Differentiable dynamical systems; SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Differentiable dynamical systems; Nonlinear theories; Quantum theory; Science -- Optics; Computers -- Information Technology; Science -- Solid State Physics; Optical physics; Quantum physics (quantum mechanics & quantum field theory); Spectrum analysis, spectrochemistry, mass spectrometry; Science -- Quantum Theory; Electronic books
• Languages: English
• ISBNs: 9783319444598
• Related ISBNs: 331944459X; 9783319444581; 3319444581
• Notes: Note: Print version record.
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