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Extremal spacings of random unitary matrices
Extremal spacings random unitary matrices Mathematical Physics
2012/4/16
Extremal spacings between unimodular eigenvalues of random unitary matrices of size N pertaining to circular ensembles are investigated. Probability distributions for the minimal spacing for various e...
Superemitters in Hybrid Photonic Systems: A Simple Lumping Rule for the Local Density of Optical States and its Break-Down at the Unitary Limit
Superemitters Hybrid Photonic Systems Simple Lumping Rule Local Density of Optical States its Break-Down Optics
2012/4/20
We theoretically investigate how the enhancement of the radiative decay rate of a spontaneous emitter provided by coupling to an optical antenna is modified when this "superemitter" is introduced into...
Unitary fermions on the lattice I: in a harmonic trap
unitary fermions Bertsch parameter overlap problem
2011/7/21
We present a new lattice Monte Carlo approach developed for studying large numbers of strongly interacting nonrelativistic fermions, and apply it to a dilute gas of unitary fermions confined to a harm...
Unitary coupled-channels model for three-mesons decays of heavy mesons
heavy-meson hadronic decay exotic meson 3-body unitarity
2011/7/21
A unitary coupled-channels model is presented for investigating the decays of heavy mesons and excited meson states into three light pseudoscalar mesons. The model accounts for the three-mesons final ...
Unitary representations of the Galilean line group: Quantum mechanical principle of equivalence
Unitary representations the Galilean line group Quantum mechanical principle of equivalence
2011/9/5
Abstract: We present a formalism of Galilean quantum mechanics in non-inertial reference frames and discuss its implications for the equivalence principle. This extension of quantum mechanics rests on...
The algebra of local unitary invariants of identical particles
algebra identical particles Quantum Physics
2011/10/8
Abstract: We investigate the properties of the inverse limit of the algebras of local unitary invariant polynomials of quantum systems containing various types of fermionic and/or bosonic particles as...
Induced Metric And Matrix Inequalities On Unitary Matrices
eigenvalues, metric, singular values, quantum information science, quantum mechanics, unitary matrices
2011/8/25
Abstract: We show that any symmetric norm on $\bR^n$ induces a metric on U(n), the group of all $n\times n$ unitary matrices. Using the same technique, we prove an inequality concerning the eigenvalue...
Categories of unitary representations of Banach-Lie supergroups and restriction functors
Banach–Lie supergroups unitary representations smooth vectors analytic vectors
2011/8/25
Abstract: We prove that the categories of smooth and analytic unitary representations of Banach--Lie supergroups are well-behaved under restriction functors, in the sense that the restriction of a rep...
Entanglement in Coupled Harmonic Oscillators via Unitary Transformation
harmonic oscillator unitary transformation purity entanglement
2011/7/28
Abstract: We develop an approach to study the entanglement in two coupled harmonic oscillators. We start by introducing an unitary transformation to end up with the solutions of the energy spectrum. T...
The "boson polynomials" of Gel'fand basis and the analytic expression of Wigner's coefficients with multiplicity for the canonical basis of unitary groups
Gel'fand basis Wigner's coefficients canonical basis Representation Theory
2011/7/26
Abstract: In this paper we present the generating function method for the derivation of bosons polynomials of Gel'fand basis and Wigner coefficients for the canonical basis of SU(n). We find a new ana...
General relativity, differential geometry, and unitary theories in the work of Mira Fernandes
General relativity differential geometry unitary theories
2010/12/27
An analysis of the work of Mira Fernandes on unitary theories is presented.
A new approach for studying large numbers of fermions in the unitary regime
fermions the unitary regime
2011/1/6
A novel lattice approach is presented for studying systems comprising a large number of interacting nonrelativistic fermions. The construction is ideally suited for numerical study of fermions near un...
A new approach for studying large numbers of fermions in the unitary regime
fermions the unitary regime
2011/1/6
A novel lattice approach is presented for studying systems comprising a large number of interacting nonrelativistic fermions. The construction is ideally suited for numerical study of fermions near un...
Lattice calculation for unitary fermions in a finite box
Lattice calculation unitary fermions
2011/1/6
A fundamental constant in systems of unitary fermions is the so-called Bertsch parameter, the ratio of the ground state energy for spin paired unitary fermions to that for free fermions at the same de...
Lattice calculation for unitary fermions in a finite box
Lattice calculation unitary fermions
2011/1/6
A fundamental constant in systems of unitary fermions is the so-called Bertsch parameter, the ratio of the ground state energy for spin paired unitary fermions to that for free fermions at the same de...