Zobrazeno 1 - 10
of 710
pro vyhledávání: '"37n20"'
Denote by $\mu$ the maximal entropy measure for the shift acting on $\Omega = \{0, 1\}^\mathbb{N}$, by $\mathcal{L}$ the associated Ruelle operator and by $\mathcal{K} = \mathcal{L}^*$ the Koopman operator, both acting on $L^2(\mu)$. It is natural to
Externí odkaz:
http://arxiv.org/abs/2409.18133
We consider reflectionless wave propagation in networks modeled in terms of the nonlocal nonlinear Schr\"odinger (NNLS) equation on metric graphs, for which transparent boundary conditions are imposed at the vertices. By employing the ``potential app
Externí odkaz:
http://arxiv.org/abs/2408.03709
Concave in measure and d-concave in measure nonautonomous scalar ordinary differential equations given by coercive and time-compactible maps have similar properties to equations satisfying considerably more restrictive hypotheses. This paper describe
Externí odkaz:
http://arxiv.org/abs/2407.15515
We propose a modification to the Cayley transform that defines a suitable local parameterization for the special unitary group $\mathrm{SU(3)}$. The new mapping is used to construct splitting methods for separable Hamiltonian systems whose phase spac
Externí odkaz:
http://arxiv.org/abs/2406.11337
Autor:
Malvetti, Emanuel
We study a single Markovian qubit governed by a Lindblad master equation and subject to fast unitary control. Using reduced control systems and optimal control theory we determine (i) controls for cooling and heating such systems in a time-optimal wa
Externí odkaz:
http://arxiv.org/abs/2404.09279
For any linear system with unreduced dynamics governed by invertible propagators, we derive a closed, time-delayed, linear system for a reduced-dimensional quantity of interest. This method does not target dimensionality reduction: rather, this metho
Externí odkaz:
http://arxiv.org/abs/2403.15596
We propose a new framework of Hessian-free force-gradient integrators that do not require the analytical expression of the force-gradient term based on the Hessian of the potential. Due to that the new class of decomposition algorithms for separable
Externí odkaz:
http://arxiv.org/abs/2403.10370
Autor:
Knorst, Josue, Lopes, Artur O.
Given a smooth potential $W:\mathrm{T}^{n} \to \mathbb{R}$ on the torus, the Quantum Guerra-Morato action functional is given by \smallskip $ \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, \,\,\,\,\,\,\,\,\, I(\psi) = \int\,(\, \, \,\frac{D v\, D v^*}{2}(x)
Externí odkaz:
http://arxiv.org/abs/2403.05865
Autor:
Malvetti, Emanuel
We address the problem of cooling a Markovian quantum system to a pure state in the shortest amount of time possible. Here the system drift takes the form of a Lindblad master equation and we assume fast unitary control. This setting allows for a nat
Externí odkaz:
http://arxiv.org/abs/2403.05285
We discuss the martingales in relevance with $G$-strongly quasi-invariant states on a $C^*$-algebra $\mathcal A$, where $G$ is a separable locally compact group of $*$-automorphisms of $\mathcal A$. In the von Neumann algebra $\mathfrak A$ of the GNS
Externí odkaz:
http://arxiv.org/abs/2403.05590