60 citations · 194 across the 13 of their papers we have counts for
13 papers
Quantum Optimal Control of a Lambda System in the Density Matrix Formulation
Julia Cen, Domenico D'Alessandro
In various physical implementations of quantum information processing, qubits are realized in a Lambda type system configuration as two stable lower energy levels coupled indirectl…
Quantum dynamics of non-Hermitian many-body Landau-Zener systems
Rajesh K. Malla, Julia Cen, Wilton J. M. Kort-Kamp +1
We develop a framework to solve a large class of linearly driven non-Hermitian quantum systems. Such a class of models in the Hermitian scenario is commonly known as multi-state La…
Nonlinear Classical and Quantum Integrable Systems with PT-symmetries
Julia Cen
A key feature of integrable systems is that they can be solved to obtain exact analytical solutions. We show how new models can be constructed through generalisations of some well…
Stability in integrable nonlocal nonlinear equations
Julia Cen, Francisco Correa, Andreas Fring +1
Recently a variety of nonlocal integrable systems has been introduced that besides fields located at particlar space-time points simultaneously also contain fields that are located…
Anti--symmetric Qubit: Decoherence and Entanglement Entropy
Julia Cen, Avadh Saxena
We investigate a two-level spin system based anti-parity-time (anti-)-symmetric qubit and study its decoherence as well as entanglement entropy properties. We compare…
Nonlocal gauge equivalence: Hirota versus extended continuous Heisenberg and Landau-Lifschitz equation
Julia Cen, Francisco Correa, Andreas Fring
We exploit the gauge equivalence between the Hirota equation and the extended continuous Heisenberg equation to investigate how nonlocality properties of one system are inherited b…
Multicomplex solitons
Julia Cen, Andreas Fring
We discuss integrable extensions of real nonlinear wave equations with multi-soliton solutions, to their bicomplex, quaternionic, coquaternionic and octonionic versions. In particu…
Time-dependent Darboux (supersymmetric) transformations for non-Hermitian quantum systems
Julia Cen, Andreas Fring, Thomas Frith
We propose time-dependent Darboux (supersymmetric) transformations that provide a scheme for the calculation of explicitly time-dependent solvable non-Hermitian partner Hamiltonian…
Asymptotic and scattering behaviour for degenerate multi-solitons in the Hirota equation
Julia Cen, Andreas Fring
We construct all higher order conserved charges from a general two-dimensional zero curvature condition using a Gardner transformation. Employing two of those charges in the defini…
Integrable nonlocal Hirota equations
Julia Cen, Francisco Correa, Andreas Fring
We construct several new integrable systems corresponding to nonlocal versions of the Hirota equation, which is a particular example of higher order nonlinear Schrödinger equations…
Degenerate multi-solitons in the sine-Gordon equation
Julia Cen, Francisco Correa, Andreas Fring
We construct various types of degenerate multi-soliton and multi-breather solutions for the sine-Gordon equation based on Bäcklund transformations, Darboux-Crum transformations and…
Time-delay and reality conditions for complex solitons
Julia Cen, Francisco Correa, Andreas Fring
We compute lateral displacements and time-delays for a scattering processes of complex multi-soliton solutions of the Korteweg de-Vries equation.The resulting expressions are emplo…
Complex solitons with real energies
Julia Cen, Andreas Fring
Using Hirota's direct method and Baecklund transformations we construct explicit complex one and two-solutions to the complex Korteweg-de Vries equation, the complex modified Korte…