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On the high-density expansion for Euclidean Random Matrices
the high-density expansion Euclidean Random Matrices
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2010/12/27
Diagrammatic techniques to compute perturbatively the spectral properties of Euclidean Random Matrices in the high-density regime are introduced and discussed in detail. Such techniques are developed ...
A solution of the Gross-Witten matrix model by nonlinear random processes
the Gross-Witten matrix model nonlinear random processes
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2010/12/27
We illustrate the stochastic method for solving the Schwinger-Dyson equations in large-N quantum field theories described in ArXiv:1009.4033 on the example of the Gross-Witten unitary matrix model. I...
Entanglement transitions in random definite particle states
entanglement transitions Quantum Physics
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2010/11/8
Entanglement within qubits are studied for the subspace of definite particle states or definite number of up spins. A transition from an algebraic decay of entanglement within two qubits (1/N^2) with ...
Generating random density matrices
Generating random density matrices
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2010/11/5
We study various methods to generate ensembles of quantum density matrices of a fixed size N and analyze the corresponding probability distributions P(x), where x denotes the rescaled eigenvalue, x=N\...