Zobrazeno 1 - 10
of 640
pro vyhledávání: '"Vladimirov, A. G."'
Autor:
Vladimirov, Igor G., Petersen, Ian R.
This paper is concerned with open quantum harmonic oscillators with position-momentum system variables, whose internal dynamics and interaction with the environment are governed by linear quantum stochastic differential equations. A recently proposed
Externí odkaz:
http://arxiv.org/abs/2409.15720
A numerical and analytical study was conducted to investigate the bifurcation mechanisms that cause desynchronization between the soliton repetition frequency and the frequency of external pulsed injection in a Kerr cavity described by the Lugiato-Le
Externí odkaz:
http://arxiv.org/abs/2404.14113
Autor:
Vladimirov, Igor G.
This paper is concerned with a class of multivariable stochastic Hamiltonian systems whose generalised position is related by an ordinary differential equation to the momentum governed by an Ito stochastic differential equation. The latter is driven
Externí odkaz:
http://arxiv.org/abs/2312.09475
A new definition of discrete-time negative imaginary (NI) systems is provided. This definition characterizes the dissipative property of a zero-order hold sampled continuous-time NI system. Under some assumptions, asymptotic stability can be guarante
Externí odkaz:
http://arxiv.org/abs/2312.05419
Autor:
Vladimirov, Igor G., Petersen, Ian R.
This paper is concerned with open quantum systems whose dynamic variables have an algebraic structure, similar to that of the Pauli matrices for finite-level systems. The Hamiltonian and the operators of coupling of the system to the external bosonic
Externí odkaz:
http://arxiv.org/abs/2311.02292
Autor:
Vladimirov, Igor G., Petersen, Ian R.
This paper is concerned with open quantum harmonic oscillators (OQHOs) described by linear quantum stochastic differential equations. This framework includes isolated oscillators with zero Hamiltonian, whose system variables remain unchanged (in the
Externí odkaz:
http://arxiv.org/abs/2310.17232
Autor:
Vladimirov, Igor G., Petersen, Ian R.
This paper considers a risk-sensitive optimal control problem for a field-mediated interconnection of a quantum plant with a coherent (measurement-free) quantum controller. The plant and the controller are multimode open quantum harmonic oscillators
Externí odkaz:
http://arxiv.org/abs/2308.03918
A neutral delay differential equation (NDDE) model of a Kerr cavity with external coherent injection is developed that can be considered as a generalization of the Ikeda map with second and higher order dispersion being taken into account. It is show
Externí odkaz:
http://arxiv.org/abs/2307.13084
Autor:
Vladimirov, Igor G.
This paper is concerned with stochastic systems whose state is a diffusion process governed by an Ito stochastic differential equation (SDE). In the framework of a nominal white-noise model, the SDE is driven by a standard Wiener process. For a scena
Externí odkaz:
http://arxiv.org/abs/2305.12936
Autor:
Vladimirov, Andrei G.
Weak interaction of temporal cavity solitons due to gain saturation and recovery in a delay differential model of a long cavity semiconductor laser is studied numerically and analytically using an asymptotic approach. It is shown that in addition to
Externí odkaz:
http://arxiv.org/abs/2304.09683