The Experts below are selected from a list of 35121 Experts worldwide ranked by ideXlab platform
Anjan Biswas - One of the best experts on this subject based on the ideXlab platform.
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optical soliton perturbation with kudryashov s equation by semi inverse Variational Principle
Physics Letters A, 2020Co-Authors: Anjan Biswas, Mir Asma, Padmaja Guggilla, Lipika Mullick, Luminita Moraru, Mehmet Ekici, Abdullah K Alzahrani, Milivoj R BelicAbstract:Abstract The semi–inverse Variational Principle retrieved bright 1–soliton solution to the perturbed Kudryashov's equation. The perturbation terms appear with maximum intensity and additionally higher order dispersion effects are included. The parameter constraints for the solitons to exist are also enumerated.
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optical soliton perturbation with polynomial and triple power laws of refractive index by semi inverse Variational Principle
Chaos Solitons & Fractals, 2020Co-Authors: Russell Kohl, Anjan Biswas, Qin Zhou, Mehmet Ekici, Abdullah K Alzahrani, Milivoj R BelicAbstract:Abstract This paper secures perturbed bright 1–soliton solution with polynomial and triple–power law nonlinearities. These are dispersive solitons that come with third and fourth order dispersions. The application of semi–inverse Variational Principle leads to the analytic closed–form expression for such a soliton with necessary parameter restrictions for them to exist and sustain.
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highly dispersive optical soliton perturbation with quadratic cubic refractive index by semi inverse Variational Principle
Optik, 2020Co-Authors: Russell Kohl, Anjan Biswas, Houria Triki, Mehmet Ekici, Yakup Yildirim, Ali Saleh Alshomrani, Milivoj R BelicAbstract:Abstract This paper gives highly dispersive perturbed bright optical solitons with quadratic–cubic law of refractive index. The semi–inverse Variational Principle makes this retrieval possible with Hamiltonian perturbations.
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highly dispersive optical soliton perturbation with cubic quintic septic refractive index by semi inverse Variational Principle
Optik, 2019Co-Authors: Russell Kohl, Anjan Biswas, Qin Zhou, Mehmet Ekici, Ali Saleh Alshomrani, Salam Khan, Milivoj R BelicAbstract:Abstract This paper obtains highly dispersive perturbed bright 1-soliton solution with cubic–quintic–septic nonlinearity by the aid of semi-inverse Variational Principle. The relation between the parameters, for sustaining solitons, naturally emerge during the course of soliton solution derivation.
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application of semi inverse Variational Principle to cubic quartic optical solitons with kerr and power law nonlinearity
Optik, 2018Co-Authors: Anjan Biswas, Saima ArshedAbstract:Abstract This paper applies semi-inverse Variational Principle to retrieve cubic-quartic optical soliton solutions in Kerr and power law media. The results appear with a number of constraint relations and these integrability criteria are also presented.
Dieter Jaksch - One of the best experts on this subject based on the ideXlab platform.
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parallel time dependent Variational Principle algorithm for matrix product states
Physical Review B, 2020Co-Authors: Paul Secular, Nikita Gourianov, Michael Lubasch, Sergey Dolgov, S R Clark, Dieter JakschAbstract:Combining the time-dependent Variational Principle (TDVP) algorithm with the parallelization scheme introduced by Stoudenmire and White for the density matrix renormalization group (DMRG), we present the first parallel matrix product state (MPS) algorithm capable of time evolving one-dimensional (1D) quantum lattice systems with long-range interactions. We benchmark the accuracy and performance of the algorithm by simulating quenches in the long-range Ising and XY models. We show that our code scales well up to 32 processes, with parallel efficiencies as high as 86%. Finally, we calculate the dynamical correlation function of a 201-site Heisenberg XXX spin chain with $1/r^2$ interactions, which is challenging to compute sequentially. These results pave the way for the application of tensor networks to increasingly complex many-body systems.
Ignacio J Cirac - One of the best experts on this subject based on the ideXlab platform.
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gaussian time dependent Variational Principle for the bose hubbard model
Physical Review B, 2019Co-Authors: Tommaso Guaita, Lucas Hackl, Tao Shi, Claudius Hubig, Eugene Demler, Ignacio J CiracAbstract:We systematically extend Bogoliubov theory beyond the mean-field approximation of the Bose-Hubbard model in the superfluid phase. Our approach is based on the time-dependent Variational Principle applied to the family of all Gaussian states (i.e., Gaussian TDVP). First, we find the best ground-state approximation within our Variational class using imaginary time evolution in 1D, 2D, and 3D. We benchmark our results by comparing to Bogoliubov theory and DMRG in 1D. Second, we compute the approximate one- and two-particle excitation spectrum as eigenvalues of the linearized projected equations of motion (linearized TDVP). We find the gapless Goldstone mode, a continuum of two-particle excitations and a doublon mode. We discuss the relation of the gap between Goldstone mode and two-particle continuum to the excitation energy of the Higgs mode. Third, we compute linear response functions for perturbations describing density variation and lattice modulation and discuss their relations to experiment. Our methods can be applied to any perturbations that are linear or quadratic in creation/annihilation operators. Finally, we provide a comprehensive overview how our results are related to well-known methods, such as traditional Bogoliubov theory and random phase approximation.
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time dependent Variational Principle for quantum lattices
Physical Review Letters, 2011Co-Authors: Jutho Haegeman, Ignacio J Cirac, Tobias J Osborne, Iztok Pižorn, Henri Verschelde, Frank VerstraeteAbstract:We develop a new algorithm based on the time-dependent Variational Principle applied to matrix product states to efficiently simulate the real- and imaginary-time dynamics for infinite one-dimensional quantum lattices. This procedure (i) is argued to be optimal, (ii) does not rely on the Trotter decomposition and thus has no Trotter error, (iii) preserves all symmetries and conservation laws, and (iv) has low computational complexity. The algorithm is illustrated by using both an imaginary-time and a real-time example.
Artur F Izmaylov - One of the best experts on this subject based on the ideXlab platform.
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problem free time dependent Variational Principle for open quantum systems
Journal of Chemical Physics, 2015Co-Authors: Loic Joubertdoriol, Artur F IzmaylovAbstract:Methods of quantum nuclear wave-function dynamics have become very efficient in simulating large isolated systems using the time-dependent Variational Principle (TDVP). However, a straightforward extension of the TDVP to the density matrix framework gives rise to methods that do not conserve the energy in the isolated system limit and the total system population for open systems where only energy exchange with environment is allowed. These problems arise when the system density is in a mixed state and is simulated using an incomplete basis. Thus, the basis set incompleteness, which is inevitable in practical calculations, creates artificial channels for energy and population dissipation. To overcome this unphysical behavior, we have introduced a constrained Lagrangian formulation of TDVP applied to a non-stochastic open system Schrodinger equation [L. Joubert-Doriol, I. G. Ryabinkin, and A. F. Izmaylov, J. Chem. Phys. 141, 234112 (2014)]. While our formulation can be applied to any Variational ansatz for the system density matrix, derivation of working equations and numerical assessment is done within the Variational multiconfiguration Gaussian approach for a two-dimensional linear vibronic coupling model system interacting with a harmonic bath.
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problem free time dependent Variational Principle for open quantum systems
arXiv: Chemical Physics, 2015Co-Authors: Loic Joubertdoriol, Artur F IzmaylovAbstract:Methods of quantum nuclear wave-function dynamics have become very efficient in simulating large isolated systems using the time-dependent Variational Principle (TDVP). However, a straightforward extension of the TDVP to the density matrix framework gives rise to methods that do not conserve the energy in the isolated system limit and the total system population for open systems where only energy exchange with the environment is allowed. These problems arise when the system density is in a mixed state and is simulated using an incomplete basis. Thus, the basis set incompleteness, which is inevitable in practical calculations, creates artificial channels for energy and population dissipation. To overcome this unphysical behavior, we have introduced a constrained Lagrangian formulation of TDVP applied to the non-stochastic open system Schrodinger equation (NOSSE) [L. Joubert-Doriol, I. G. Ryabinkin, and A. F. Izmaylov, J. Chem. Phys. 141, 234112 (2014)]. While our formulation can be applied to any Variational ansatz for the system density matrix, derivation of working equations and numerical assessment are done within the Variational multiconfiguration Gaussian approach for a two-dimensional linear vibronic coupling model system interacting with a harmonic bath.
Frank Verstraete - One of the best experts on this subject based on the ideXlab platform.
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time dependent Variational Principle for quantum lattices
Physical Review Letters, 2011Co-Authors: Jutho Haegeman, Ignacio J Cirac, Tobias J Osborne, Iztok Pižorn, Henri Verschelde, Frank VerstraeteAbstract:We develop a new algorithm based on the time-dependent Variational Principle applied to matrix product states to efficiently simulate the real- and imaginary-time dynamics for infinite one-dimensional quantum lattices. This procedure (i) is argued to be optimal, (ii) does not rely on the Trotter decomposition and thus has no Trotter error, (iii) preserves all symmetries and conservation laws, and (iv) has low computational complexity. The algorithm is illustrated by using both an imaginary-time and a real-time example.
