Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Cen, Julia"'
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 Landau-Zener models. The non-hermiticity is due to the anti-Hermitian co
Externí odkaz:
http://arxiv.org/abs/2304.03471
Publikováno v:
Physical Review Research 6, 013167 (2024)
Hermitian Hamiltonians with time-periodic coefficients can be analyzed via Floquet theory, and have been extensively used for engineering Floquet Hamiltonians in standard quantum simulators. Generalized to non-Hermitian Hamiltonians, time-periodicity
Externí odkaz:
http://arxiv.org/abs/2301.06255
Autor:
Cen, Julia
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 known nonlinear partial differential equations with PT-symmetries whil
Externí odkaz:
http://arxiv.org/abs/2201.00089
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 at different, but symmetrically related, points. Here we investigate
Externí odkaz:
http://arxiv.org/abs/2112.12206
Autor:
Cen, Julia, Saxena, Avadh
We investigate a two-level spin system based anti-parity-time (anti-$\mathcal{PT}$)-symmetric qubit and study its decoherence as well as entanglement entropy properties. We compare our findings with that of the corresponding $\mathcal{PT}$-symmetric
Externí odkaz:
http://arxiv.org/abs/2008.04514
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 53 (2020) 195201
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 by the other. We provide closed generic expressions for nonlocal multi-
Externí odkaz:
http://arxiv.org/abs/1910.07272
Autor:
Cen, Julia, Fring, Andreas
Publikováno v:
Journal of Nonlinear Mathematical Physics, 27:1, (2020) 17-35
We discuss integrable extensions of real nonlinear wave equations with multi-soliton solutions, to their bicomplex, quaternionic, coquaternionic and octonionic versions. In particular, we investigate these variants for the local and nonlocal Korteweg
Externí odkaz:
http://arxiv.org/abs/1812.02111
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 52 (2019) 115302
We propose time-dependent Darboux (supersymmetric) transformations that provide a scheme for the calculation of explicitly time-dependent solvable non-Hermitian partner Hamiltonians. Together with two Hermitian Hamilitonians the latter form a quadrup
Externí odkaz:
http://arxiv.org/abs/1811.00149
Autor:
Cen, Julia, Fring, Andreas
Publikováno v:
Physica D: Nonlinear Phenomena 397 (2019) 17-24
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 definition of a Hamiltonian allows to view the Hirota equations as an integr
Externí odkaz:
http://arxiv.org/abs/1804.02013
Publikováno v:
Journal of Mathematical Physics 60, 081508 (2019)
We construct several new integrable systems corresponding to nonlocal versions of the Hirota equation, which is a particular example of higher order nonlinear Schr\"{o}dinger equations. The integrability of the new models is established by providing
Externí odkaz:
http://arxiv.org/abs/1710.11560