Optical Bragg, atomic Bragg and cavity QED detections of quantum phases and excitation spectra of ultracold atoms in bipartite and frustrated optical lattices
- Key Laboratory of Terahertz Optoelectronics, Ministry of Education, Department of Physics, Capital Normal University, Beijing 100048 (China)
- Department of Physics, East China Normal university, Shanghai, 200062 (China)
- Department of Physics, State Key Laboratory of Surface Physics and Laboratory of Advanced Materials, Fudan University, Shanghai, 200433 (China)
Ultracold atoms loaded on optical lattices can provide unprecedented experimental systems for the quantum simulations and manipulations of many quantum phases and quantum phase transitions between these phases. However, so far, how to detect these quantum phases and phase transitions effectively remains an outstanding challenge. In this paper, we will develop a systematic and unified theory of using the optical Bragg scattering, atomic Bragg scattering or cavity QED to detect the ground state and the excitation spectrum of many quantum phases of interacting bosons loaded in bipartite and frustrated optical lattices. The physically measurable quantities of the three experiments are the light scattering cross sections, the atom scattered clouds and the cavity leaking photons respectively. We show that the two photon Raman transition processes in the three detection methods not only couple to the density order parameter, but also the valence bond order parameter due to the hopping of the bosons on the lattice. This valence bond order coupling is very sensitive to any superfluid order or any valence bond (VB) order in the quantum phases to be probed. These quantum phases include not only the well-known superfluid and Mott insulating phases, but also other important phases such as various kinds of charge density waves (CDW), valence bond solids (VBS), and CDW-VBS phases with both CDW and VBS orders unique to frustrated lattices, and also various kinds of supersolids. We analyze respectively the experimental conditions of the three detection methods to probe these various quantum phases and their corresponding excitation spectra. We also address the effects of a finite temperature and a harmonic trap. We contrast the three scattering methods with recent in situ measurements inside a harmonic trap and argue that the two kinds of measurements are complementary to each other. The combination of both kinds of detection methods could be used to match the combination of Scanning tunneling microscopy (STM), the Angle Resolved Photo Emission spectroscopy (ARPES) and neutron scattering in condensed matter systems, therefore achieve the putative goals of quantum simulations - Highlights: Black-Right-Pointing-Pointer Develop a systematic and unified theory of various scattering experiments. Black-Right-Pointing-Pointer Discuss the optical Bragg, atomic Bragg and cavity QED detection methods. Black-Right-Pointing-Pointer Explore the detections of various quantum phases in various kinds of optical lattices. Black-Right-Pointing-Pointer Present the detections of valence bond order and the supersolid order. Black-Right-Pointing-Pointer Contrast the scattering methods with the in situ measurement.
- OSTI ID:
- 22157060
- Journal Information:
- Annals of Physics (New York), Vol. 328; Other Information: Copyright (c) 2012 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ATOMS
BRAGG REFLECTION
CHARGE DENSITY
COUPLING
EMISSION SPECTROSCOPY
EXCITATION
GROUND STATES
LIGHT SCATTERING
NEUTRON DIFFRACTION
ORDER PARAMETERS
PHASE TRANSFORMATIONS
PHOTONS
QUANTUM ELECTRODYNAMICS
SCANNING TUNNELING MICROSCOPY
SUPERFLUIDITY
TRAPS
VALENCE