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Density-matrix renormalization group: a pedagogical introduction
AbstractThe physical properties of a quantum many-body system can, in principle, be determined by diagonalizing the respective Hamiltonian, but the...
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Infinite density matrix renormalization group method for solving the Ising model
We apply the infinite density matrix renormalization group method to evaluate the magnetization of the Ising model. A uniform tensor network is used...
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ASTRA, A Transition Density Matrix Approach to the Interaction of Attosecond Radiation with Atoms and Molecules
A new formalism and computer code, ASTRA (AttoSecond TRAnsitions), has been developed to treat the interactions of short, intense radiation with...
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A Mixed-Norm Estimate of the Two-Particle Reduced Density Matrix of Many-Body Schrödinger Dynamics for Deriving the Vlasov Equation
We re-examine the combined semi-classical and mean-field limit in the N -body fermionic Schrödinger equation with pure state initial data using the...
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Probability Density Functions
Probability density functions are defined, and the main statistical indicators (average, variance, etc.) are extended from the discrete to the...
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Dense QCD2 with matrix product states
We study one-flavor SU(2) and SU(3) lattice QCD in (1 + 1) dimensions at zero temperature and finite density using matrix product states and the...
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Perturbative unorientable JT gravity and matrix models
We consider an orthogonal polynomial formulation of the double scaling limit of multicritical matrix models in the β = 1 Dyson-Wigner class. They...
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Low-rank density-matrix evolution for noisy quantum circuits
In this work, we present an efficient rank-compression approach for the classical simulation of Kraus decoherence channels in noisy quantum circuits....
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Optimization study of hybrid aluminium metal matrix composite using proposed Taguchi method
Metal matrix composites (MMCs) are widely recognized as a dependable solution for fulfilling the requirements of engineering materials, including but...
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Matrix models from black hole geometries
Supersymmetric, magnetically charged (and possibly accelerating) black holes in AdS 4 that uplift on Sasaki-Einstein manifolds Y 7 to M-theory have a...
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Ensemble averaging in JT gravity from entanglement in Matrix Quantum Mechanics
We consider the generalization of a matrix integral with arbitrary spectral curve ρ 0 ( E ) to a 0+1D theory of matrix quantum mechanics (MQM). Using...
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Microstructure in matrix elements
We investigate the simple model of Pennington, Shenker, Stanford and Yang for modeling the density matrix of Hawking radiation, but further include...
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Two-round quantum homomorphic encryption scheme based on matrix decomposition
As a promising emerging technology, quantum homomorphic encryption (QHE) attracts considerable attention in the domain of cloud computing. However,...
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Out-of-time-ordered correlators in the IP matrix model
We study the out-of-time-ordered correlators (OTOCs) in the IP matrix model [
1 ]. It was shown in [2 ] that OTOCs do not grow when the adjoint is... -
Krylov complexity in the IP matrix model. Part II
We continue the analysis of the Krylov complexity in the IP matrix model. In a previous paper, [
1 ], for a fundamental operator, it was shown that at... -
Direct solution of multiple excitations in a matrix product state with block Lanczos
AbstractMatrix product state methods are known to be efficient for computing ground states of local, gapped Hamiltonians, particularly in one...
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Nuclear Density Functional Theory (DFT)
The present chapter is devoted to explaining the basics of nuclear Density Functional Theory (DFT). At the start, a reminder is provided of some of...
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Primary and Secondary Processing of Polymer Matrix Composites
The current chapter presents the array of various processes of manufacturing related to polymer matrix composites (PMCs). PMC is defined as the...
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Krylov complexity in the IP matrix model
The IP matrix model is a simple large N quantum mechanical model made up of an adjoint harmonic oscillator plus a fundamental harmonic oscillator. It...