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Matrix-product-operator approach to the nonequilibrium steady state of driven-dissipative quantum arrays

Related publications (35)

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BPX-preconditioning for isogeometric analysis

Annalisa Buffa

We consider elliptic PDEs (partial differential equations) in the framework of isogeometric analysis, i.e., we treat the physical domain by means of a B-spline or NURBS mapping which we assume to be regular. The numerical solution of the PDE is computed by ...

2013

Multimode entanglement in coupled cavity arrays

Vincenzo Savona, Timothy Chi Hin Liew

We study a driven-dissipative array of coupled nonlinear optical resonators by numerically solving the von Neumann equation for the density matrix. We demonstrate that quantum correlated states of many photons can also be generated in the limit where the n ...

Institute of Physics (IoP) and Deutsche Physikalische Gesellschaft2013

An alternate point-wise scheme for Electric Field Integral Equations

Juan Ramon Mosig, Gabriele Rosati

A point-wise approach that can be used efficiently in the numerical solution of Electric Field Integral Equations is introduced. The algorithm is based on the so-called magic distance concept, which defines exactly the point-to-point equivalent of a four-d ...

Wiley-Blackwell2013

Multipartite polariton entanglement in semiconductor microcavities

Vincenzo Savona, Timothy Chi Hin Liew

We study the entanglement of multiple polariton modes, which results in continuous variable cluster states suitable for quantum computation. Schemes are based on parametric scattering between spin-polarized lower and upper polariton branches in planar micr ...

2011

A numerical method for the optimal control of switched systems

Maryam Kamgarpour

Switched dynamical systems have shown great utility in modeling a variety of systems. Unfortunately, the determination of a numerical solution for the optimal control of such systems has proven difficult, since it demands optimal mode scheduling. Recently, ...

IEEE2010

Persistent junk solutions in time-domain modeling of extreme mass ratio binaries

Jan Sickmann Hesthaven

In the context of metric perturbation theory for nonspinning black holes, extreme mass ratio binary systems are described by distributionally forced master wave equations. Numerical solution of a master wave equation as an initial boundary value problem re ...

AMER PHYSICAL SOC2010

Modeling and analysis of ethanol production in Escherichia coli

Yannick Mettraux

The ethanol production for biofuels is meant to be increased in the next years, but the yield could be improved. The goal of this study is to build a model of Escherichia coli KO11 to perform a rational design to improve the yield of ethanol production. Th ...

2010

Unified formulation for Reissner-Mindlin plates: a comparison with numerical results

Luca Tassinari

Analytical solutions to problems of solids mechanics are useful to test the accuracy and the precision of the numerical approaches. Problems such as shear locking or boundary layer can be better understood with the help of analytical solutions. However, it ...

IASS Symposium 2009, Valencia, Spain2009

Krylov subspace methods for linear systems with tensor product structure

Daniel Kressner, Christine Tobler

The numerical solution of linear systems with certain tensor product structures is considered. Such structures arise, for example, from the finite element discretization of a linear PDE on a d-dimensional hypercube. Linear systems with tensor product struc ...

Society for Industrial and Applied Mathematics2009

Polariton parametric photoluminescence in spatially inhomogeneous systems

Vincenzo Savona, Davide Sarchi

A general theory of polariton parametric photoluminescence in spatially inhomogeneous systems is developed. The quantum Langevin equations are solved in a generalized Bogoliubov-de Gennes approximation. We apply the formalism to the specific case of a diso ...

2009