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Exact quantum Monte Carlo process for the statistics of discrete systems
Monte carlo and discrete quantum system statistical data the grid virtual transformation
2014/12/23
We propose an exact Monte Carlo approach for the statistics of discrete quantum systems that does not employ the standard partition of the imaginary time into a mesh and does not contain small paramet...
Exact, complete, and universal continuous-time worldline Monte Carlo approach to the statistics of discrete quantum systems
Quantum monte carlo procedures discretization discrete Hilbert space green's function
2014/12/22
We show how the worldline quantum Monte Carlo procedure, which usually relies on an artificial time discretization, can be formulated directly in continuous time, rendering the scheme exact. For an ar...
Quantum statistics: Is there an effective fermion repulsion or boson attraction?
Fermions and bosons highly misleading quantum statistics
2014/12/20
Physicists often claim that there is an effective repulsion between fermions, implied by the Pauli principle, and a corresponding effective attraction between bosons. We examine the origins and validi...
On-site number statistics of ultracold lattice bosons
Fluctuations in optical lattice boson system monte carlo simulation and natural gas
2014/12/20
We study on-site occupation number fluctuations in a system of interacting bosons in an optical lattice. The ground-state distribution is obtained analytically in the limiting cases of strong and weak...
Worm Algorithm for Problems of Quantum and Classical Statistics
Quantum phase transition worms algorithm and strength
2014/12/19
This is a chapter of the multi-author book “Understanding Quantum Phase Transitions,” edited by Lincoln Carr and published by Taylor & Francis. In this chapter, we give a general introduction to the w...
Arbitrary-order Hilbert spectral analysis for time series possessing scaling statistics: a comparison study with detrended fluctuation analysis and wavelet leaders
Arbitrary-order Hilbert spectral analysis time series wavelet leaders
2011/8/5
Abstract: In this paper we present an extended version of Hilbert-Huang transform, namely arbitrary-order Hilbert spectral analysis, to characterize the scale-invariant properties of a time series dir...
Universality of local spectral statistics of random matrices
Random matrix Local semicircle law Tracy-Widom distribution Dyson Brownian motion
2011/7/28
Abstract: The Wigner-Gaudin-Mehta-Dyson conjecture asserts that the local eigenvalue statistics of large random matrices exhibit universal behavior depending only on the symmetry class of the matrix e...
Continuum statistics of the Airy2 process
the Airy2 process Continuum statistics Probability
2011/7/28
Continuum statistics of the Airy2 process.
Photon Antibunching, Sub-Poisson Statistics and Cauchy-Bunyakovsky and Bell's Inequalities
Photon Antibunching Sub-Poisson Statistics Cauchy-Bunyakovsky Quantum Physics
2011/7/27
Abstract: We discuss some mathematical aspects of photon antibunching and sub-Poisson photon statistics. It is known that Bell's inequalities for entangled states can be reduced to the Cauchy-Bunyakov...
Simulating quantum statistics with entangled photons: a continuous transition from bosons to fermions
quantum statistics entangled photons bosons fermions
2011/9/9
In contrast to classical physics, quantum mechanics divides particles into two classes|bosons and fermions|whose exchange statistics dictate the dynamics of systems at a fundamental level . In two dim...
Effective Non-Hermitian Hamiltonians for Studying Resonance Statistics in Open Disordered Systems
Non-Hermitian Hamiltonians Studying Resonance Statistics
2010/12/27
We briefly discuss construction of energy-dependent effective non-hermitian hamiltonians for studying resonances in open disordered systems
Exact solution for eigenfunction statistics at the center-of-band anomaly in the Anderson localization model
Exact solution for eigenfunction statistics Anderson localization model
2010/11/24
An exact solution is found for the problem of the center-of-band (E = 0) anomaly in the one-
dimensional (1D) Anderson model of localization. By deriving and solving an equation for the
generating f...
Exclusion statistics for quantum Hall states in Tao-Thouless limit
quantum Hall states Tao-Thouless limit
2010/11/19
We consider spin-polarized abelian quantum Hall states in the Tao-Thouless limit, ie on a thin
torus. For any filling factor = p/q a well-defined sector of low-energy states is dentified and the ex...
Conductance through quantum wires with Levy-type disorder: universal statistics in anomalous quantum transport
Conductance through quantum wires Levy-type disorder anomalous quantum transport
2010/11/23
Random processes characterized by density probabilities with a long tail–L´evy-type
processes– have been found in very different phenomena and fields such as biology, economy, and physics.
Conditional Eulerian and Lagrangian velocity increment statistics of fully developed turbulent flow
Lagrangian velocity increment statistics fully developed turbulent flow
2010/11/16
Conditional statistics of homogeneous isotropic turbulent flow is investigated by means of high-Reynolds number direct numerical simulations performed with $2048^3$ collocation points. Eulerian as we...