Multi-species systems in optical lattices : from orbital physics in excited bands to effects of disorder /: from orbital physics in excited bands to effects of disorder. ([2016])

• Record Type: Book
• Further Information: Note: Fernanda Pinheiro.
• Authors: Pinheiro, Fernanda
• Contents: Supervisors' Foreword; Abstract; Publications Related to This Thesis; Acknowledgements; Contents; 1 Preamble; References; 2 Introduction to Optical Lattices and Excited Bands (and All That); 2.1 Optical Lattices; 2.2 Single Particles in Periodic Potentials; 2.3 Meet the Orbital States!; 2.3.1 Orbital States in the Harmonic Approximation; 2.4 From One to Many: Many-Body Systems in Excited Bands; 2.4.1 The Many-Body System in the p Band; 2.4.2 The Many-Body System in the d Band; 2.5 How to Get There?; 2.6 Loading Atoms to the p Band -- The Experiment of Müller et al.; References. 3 General Properties of the Bosonic System in the p and in the d Bands3.1 p-Orbital Bosons from a Mean-Field Viewpoint; 3.1.1 The Two-Dimensional Lattice; 3.1.2 The Three-Dimensional Lattice; 3.2 Mean-Field Properties of the Bosonic System in the d Band; 3.2.1 Onsite Superfluid States; References; 4 Confined p-Orbital Bosons; 4.1 The Ideal Gas; 4.1.1 The Ideal Gas at Finite Temperatures; 4.2 Mean-Field Equations of the Interacting System in 2D; 4.3 Properties of the System in the Anisotropic Lattice; References. 5 Beyond the Mean-Field Approximation: Effective Pseudospin Hamiltonians via Exchange Interaction5.1 Effective Hamiltonian for Describing the Mott Phase with Unit Filling; 5.2 p-Orbital Bosonic System in the 2D Lattice; 5.2.1 Properties of the Ground-State: The Phase Diagram of the XYZ Model; 5.2.2 Experimental Probes, Measurements and Manipulations; 5.2.3 Experimental Realization; 5.2.4 Effective Model Including Imperfections Due to s-Orbital Atoms; 5.3 3D System and Simulation of Heisenberg Models Beyond Spin-1/2; 5.3.1 The Bosonic Case; 5.3.2 The Fermionic Case. 5.4 The d-Band System in 2D LatticesReferences; 6 Effects of Disorder in Multi-species Systems; 6.1 Meet the Hamiltonians; 6.2 Symmetries of the Real-Valued Random-Field Case; 6.3 Symmetries of the Complex-Valued Random Field Case; 6.4 Spectral Properties; 6.4.1 Properties of the Ground State and Low Lying Excitations; 6.5 Effective Model for the Non-chiral Systems; 6.6 Experimental Realizations of Disordered Systems; References; 7 Conclusions; References.
• Publisher Details: Switzerland : Springer
• Publication Date: 2016
• Extent: 1 online resource, illustrations (some color)
• Subjects: 530.12; Physics; Optical lattices; Quantum theory; Atomic orbitals; SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Atomic orbitals; Optical lattices; Quantum theory; Science -- Mechanics -- Dynamics -- Thermodynamics; Computers -- Information Technology; Science -- Quantum Theory; Low temperature physics; Quantum physics (quantum mechanics & quantum field theory); Atomic & molecular physics; Electronic books
• Languages: English
• ISBNs: 9783319434643; 3319434640
• Related ISBNs: 9783319434636
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed August 3, 2016).
• 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).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.