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Quantum matter at ultralow temperatures /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , , |
| Formato: | Electrónico Congresos, conferencias eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam, Netherlands :
IOS Press,
2016.
|
| Colección: | Proceedings of the International School of Physics "Enrico Fermi" ;
course 191 |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Title Page; Contents; Preface; Course group shot; Introduction to the physics of artificial gauge fields; Magnetism and quantum physics; Gauge invariance; Cyclotron motion and Landau levels; The Aharonov-Bohm effect; Rotating gases; Geometric phases and gauge fields for free atoms; Berry's phase; Adiabatic following of a dressed state; The two-level case; Validity of the adiabatic approximation; Spontaneous emission and recoil heating; Non-Abelian potentials and spin-orbit coupling; Non-Abelian potentials in quantum optics; Tripod configuration and 2D spin-orbit coupling
- 1D version of spin-orbit couplingGauge fields on a lattice; Tight-binding model; Hofstadter butterfly; Chern number for an energy band; Generation of lattice gauge fields via shaking or modulation; Rapid shaking of a lattice; Resonant shaking/modulation; Generation of lattice gauge fields via internal atomic transitions; Laser-assisted tunneling in a 1D ladder; Lattice with artificial dimension; Laser-induced tunneling in a 2D lattice; Optical flux lattices; Conclusion; Appendix A. Landau levels; Eigenstates with the Landau gauge; Probability current in a Landau state
- Eigenstates with the symmetric gaugeAppendix B. Topology in the square lattice; Band structure and periodicity in reciprocal space; Constant force and unitary transformation; Bloch oscillations and adiabatic following; The velocity operator and its matrix elements; The Berry curvature; Conduction from a filled band and Chern number; The Chern number is an integer; Strongly interacting Fermi gases; Feshbach resonances; Two-body scattering; Feshbach resonances; Three-body losses; Unitary bosons and the Efimov effect; Tan relations; Thermodynamic relations; Quantitative results for the contact
- Closed-channel fractionSingle-channel model and zero-range limit; Short-distance correlations; Unitary fermions: universality and scale invariance; Quantum critical point and universality; Thermodynamics of the unitary Fermi gas; Luttinger-Ward theory; Scale invariance; Broken scale invariance and conformal anomaly in 2D; RF-spectroscopy and transport; RF-spectroscopy; Quantum limited viscosity and spin diffusion; Thermodynamics of strongly interacting Fermi gases; Introduction; Universal thermodynamics; Thermodynamics of trapped gases; Zero-temperature equation of state
- Viral theorem for the trapped gas at unitarityGeneral thermodynamic relations; Obtaining the pressure from density profiles; ``Magic formula'' for harmonic trapping; Universal thermodynamics of the unitary Fermi gas; Compressibility equation of state; Specific heat versus temperature
- the Lambda transition in a gas; Chemical potential, energy and free energy; Entropy, density and pressure; Importance of cross-validation with theory; Further applications of the ``fit-free'' method; Equation of state in the BEC-BCS crossover
- The contact; Energy of molecular Bose-Einstein condensates