Controllability of periodic bilinear quantum systems on infinite graphs
DOI10.1063/5.0010579zbMath1454.81100arXiv1906.08040OpenAlexW2950389305MaRDI QIDQ5141066
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.08040
Sensitivity, stability, well-posedness (49K40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Infinite graphs (05C63) Initial-boundary value problems for linear higher-order PDEs (35G16) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Quantum control (81Q93)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Simultaneous global exact controllability of an arbitrary number of 1D bilinear Schrödinger equations
- Local controllability of 1D linear and nonlinear Schrödinger equations with bilinear control
- Lyapunov control of a quantum particle in a decaying potential
- Simultaneous local exact controllability of 1D bilinear Schrödinger equations
- Simultaneous global exact controllability in projection of infinite 1D bilinear Schrödinger equations
- Global approximate controllability for Schrödinger equation in higher Sobolev norms and applications
- Optimal regularity, exact controllability and uniform stabilization of Schrödinger equations with Dirichlet control
- On the asymptotic behavior of generalized processes, with applications to nonlinear evolution equations
- Feedback stabilization of distributed semilinear control systems
- Control of the Schrödinger equation
- Bilinear control of high frequencies for a 1D Schrödinger equation
- Dispersive effects for the Schrödinger equation on the tadpole graph
- Multi-input Schrödinger equation: controllability, tracking, and application to the quantum angular momentum
- Approximate controllability, exact controllability, and conical eigenvalue intersections for quantum mechanical systems
- Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
- Local controllability of a 1-D Schrödinger equation
- Dispersive effects and high frequency behaviour for the Schrödinger equation in star-shaped networks
- Controllability for Distributed Bilinear Systems
- Sharp Sufficient Conditions for the Observation, Control, and Stabilization of Waves from the Boundary
- Exact Controllability for the Schrödinger Equation
- Controllability of quantum mechanical systems by root space decomposition of su(N)
- Controllability of localised quantum states on infinite graphs through bilinear control fields
- Controllability of bilinear quantum systems in explicit times via explicit control fields
- Global Exact Controllability of Bilinear Quantum Systems on Compact Graphs and Energetic Controllability
- Adiabatic Control of the Schrödinger Equation via Conical Intersections of the Eigenvalues
- Weakly Coupled Systems in Quantum Control
- Inverse problems for the Schrödinger equation via Carleman inequalities with degenerate weights
- Branched quantum wave guides with Dirichlet boundary conditions: the decoupling case
- An inverse problem for Schrödinger equations with discontinuous main coefficient
- Variational problems on multiply connected thin strips. I: Basic estimates and convergence of the Laplacian spectrum
This page was built for publication: Controllability of periodic bilinear quantum systems on infinite graphs
