6,045 research outputs found
Quiver Matrix Mechanics for IIB String Theory (I): Wrapping Membranes and Emergent Dimension
In this paper we present a discrete, non-perturbative formulation for type
IIB string theory. Being a supersymmetric quiver matrix mechanics model in the
framework of M(atrix) theory, it is a generalization of our previous proposal
of compactification via orbifolding for deconstructed IIA strings. In the
continuum limit, our matrix mechanics becomes a -dimensional Yang-Mills
theory with 16 supercharges. At the discrete level, we are able to construct
explicitly the solitonic states that correspond to membranes wrapping on the
compactified torus in target space. These states have a manifestly
SL(2,\integer)-invariant spectrum with correct membrane tension, and give
rise to an emergent flat dimension when the compactified torus shrinks to
vanishing size.Comment: LaTeX 2e; 39 pages, 3 eps figures. v2: typos corrected; references
added; identification of certain membrane states added. v3: minor corrections
on membrane state
A Note on Statistical Interactions and the Thermodynamic Bethe Ansatz
We show that the thermodynamic Bethe ansatz equations for one-dimensional
integrable many-body systems can be reinterpreted in such a way that they only
code the statistical interactions, in the sense of Haldane, between particles
of identical or different momenta. Thus, the thermodynamic properties of these
systems can be characterized by the generalized ideal gases recently proposed
by one of us. For example, the Yang-Yang -function gas is a gas with
specific statistical interactions between particles of different momenta, while
the Calogero-Sutherland system provides a model for an ideal gas of particles
with a fractional statistics.Comment: Latex file, 9 pages; SPhT-94-043, UU-HEP/94-03}. (Minor changes with
references added
Quantum phase transition and engineering in two-component BEC in optical lattices
In this paper we review recent progress in studying quantum phase transitions
in one- and two-component Bose-Einstein condensates (BEC) in optical lattices.
These phase transitions involve the emergence and disappearance of quantum
coherence over whole optical lattice and of linear superposition of macroscopic
quantum states. The latter may provide new means to engineer and to manipulate
novel macroscopic quantum states and novel coherent atomic beams for quantum
information processing, quantum computing etc.Comment: Format: LaTex2e. 7 pages, no figure. Talk at the Yang Symposium (in
honor of C.N. Yang's 80th birthday), Beijing, China, June 2002. To appear in
the Proceeding
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