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Sixth-order schemes for laser-matter interaction in the Schrödinger equation
Pranav Singh
Apr 21, 2019

Control of quantum systems via lasers has numerous applications that require fast and accurate numerical solution of the Schrödinger equation. In this paper, we present three strategies for extending any sixth-order scheme...

Optimal Control of Spins by Analytical Lie Algebraic Derivatives

Computation of derivatives (gradient and Hessian) of a fidelity function is one of the most crucial steps in many optimization algorithms. Having access to accurate methods for computing these derivatives is even more...

Unitarity of some barycentric rational approximants
The exponential function maps the imaginary axis to the unit circle and for many applications this unitarity property is also desirable from its approximations. We show that this property is conserved not only by the...
Sixth-order schemes for laser-matter interaction in the Schrödinger equation
Pranav Singh
Apr 21, 2019

Control of quantum systems via lasers has numerous applications that require fast and accurate numerical solution of the Schrödinger equation. In this paper, we present three strategies for extending any sixth-order scheme...

Optimal Control of Spins by Analytical Lie Algebraic Derivatives

Computation of derivatives (gradient and Hessian) of a fidelity function is one of the most crucial steps in many optimization algorithms. Having access to accurate methods for computing these derivatives is even more...

Adaptive optimal control of entangled qubits

Developing fast, robust, and accurate methods for optimal control of quantum systems comprising interacting particles is one of the most active areas of current science. Although a valuable repository of algorithms is...

Unitarity of some barycentric rational approximants
The exponential function maps the imaginary axis to the unit circle and for many applications this unitarity property is also desirable from its approximations. We show that this property is conserved not only by the...
Effective Approximation for the Semiclassical Schrödinger Equation

The computation of the semiclassical Schrödinger equation presents major challenges because of the presence of a small parameter. Assuming periodic boundary conditions, the standard approach consists of semi-discretisation...

Solving the wave equation with multifrequency oscillations

We explore a new asymptotic-numerical solver for the time-dependent wave equation with an interaction term that is oscillating in time with a very high frequency. The method involves representing the solution as an asymptotic...

Effective Approximation for the Semiclassical Schrödinger Equation

The computation of the semiclassical Schrödinger equation presents major challenges because of the presence of a small parameter. Assuming periodic boundary conditions, the standard approach consists of semi-discretisation...

Solving the wave equation with multifrequency oscillations

We explore a new asymptotic-numerical solver for the time-dependent wave equation with an interaction term that is oscillating in time with a very high frequency. The method involves representing the solution as an asymptotic...

Adaptive optimal control of entangled qubits

Developing fast, robust, and accurate methods for optimal control of quantum systems comprising interacting particles is one of the most active areas of current science. Although a valuable repository of algorithms is...

Efficient Magnus-type integrators for solar energy conversion in Hubbard models
Strongly interacting electrons in solids are generically described by Hubbardtype models, and the impact of solar light can be modeled by an additional time-dependence. This yields a finite dimensional system of ordinary...
Efficient Magnus-type integrators for solar energy conversion in Hubbard models
Strongly interacting electrons in solids are generically described by Hubbardtype models, and the impact of solar light can be modeled by an additional time-dependence. This yields a finite dimensional system of ordinary...
Information Technology/Systems Adoption in the Public Sector
State government has been moving from manual and paper-based processes to digital services. However, digital divide, declining trust in technology, and low IT/IS adoption rates by public sector employees are important challenges...
Spatiotemporal blocking of the bouncy particle sampler for efficient inference in state-space models
Abstract: We propose a novel blocked version of the continuous-time bouncy particle sampler of Bouchard-Côté et al. (J Am Stat Assoc 113(522):855–867, 2018) which is applicable to any differentiable probability density. This...
Spatiotemporal blocking of the bouncy particle sampler for efficient inference in state-space models
Abstract: We propose a novel blocked version of the continuous-time bouncy particle sampler of Bouchard-Côté et al. (J Am Stat Assoc 113(522):855–867, 2018) which is applicable to any differentiable probability density. This...
Anytime parallel tempering
Abstract: Developing efficient MCMC algorithms is indispensable in Bayesian inference. In parallel tempering, multiple interacting MCMC chains run to more efficiently explore the state space and improve performance. The multiple...
Anytime parallel tempering
Abstract: Developing efficient MCMC algorithms is indispensable in Bayesian inference. In parallel tempering, multiple interacting MCMC chains run to more efficiently explore the state space and improve performance. The multiple...
A Practitioner's Perspective of Marketing Theory Evolution
The study seeks to explore the history of marketing as a practice and the development of marketing as an academic discipline. The research is set out to decide whether or not marketing theory empowers young marketing...
Ultrafast pressure sensing with transient tunnelling currents
We report and systematically study large amplitude piezoresistance spikes in thin composite films under stress. These spikes are characterized by a unique double exponential decay which we demonstrate to be the signature of...

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