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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Synthesis of robust memory modes for linear quantum systems with unknown inputs
未知输入 线性量子系统 鲁棒记忆模式
2023/11/7
In this work, synthesis of robust memory modes for linear quantum passive systems in the presence of unknown inputs has been studied, aimed at facilitating secure storage and communication of quantum ...
Quantum Thermalization and Novel Phases in Non-equilibrium Quantum Systems
Quantum Thermalization Non-equilibrium Quantum Systems Novel Phases
2023/1/4
Universal quantum computers offer us the opportunities to implement novel quantum matter far away from equilibrium states. There has been remarkable progress in our understanding of the non-ergodic an...
Physicists and engineers have long been interested in creating new forms of matter, those not typically found in nature. Such materials might find use someday in, for example, novel computer chips. Be...
三亚国际数学论坛：Black Holes,Quantum Chaos,and Solvable Quantum Systems
三亚国际数学论坛 Black Holes Quantum Chaos Solvable Quantum Systems
2017/11/24
String theory is a consistent mathematical framework for quantum gravity, a deep question in both fundamental physics and mathematics. One of the main achievements during the past two decades is the d...
Exact, complete, and universal continuous-time worldline Monte Carlo approach to the statistics of discrete quantum systems
Quantum monte carlo procedures discretization discrete Hilbert space green's function
2014/12/22
We show how the worldline quantum Monte Carlo procedure, which usually relies on an artificial time discretization, can be formulated directly in continuous time, rendering the scheme exact. For an ar...
Mathematical Modeling of Finite Quantum Systems
Finite Quantum Systems Quantum Physics High Energy Physics - Theory
2011/10/10
Abstract: We consider the problem of quantum behavior in the finite background. Introduction of continuum or other infinities into physics leads only to technical complications without any need for th...
On the Supersymmetric Spectra of two Planar Integrable Quantum Systems
Supersymmetric Spectra Planar Integrable Quantum Systems High Energy Physics - Theory
2011/10/9
Abstract: Two planar supersymmetric quantum mechanical systems built around the quantum integrable Kepler/Coulomb and Euler/Coulomb problems are analyzed in depth. The supersymmetric spectra of both s...
Non-equilibrium Steady States of Quantum Systems on Star Graphs
Non-equilibrium Steady States Quantum Systems Star Graphs
2011/7/27
Abstract: Non-equilibrium steady states of quantum fields on star graphs are explicitly constructed. These states are parametrized by the temperature and the chemical potential, associated with each e...
Affine Maps of the Polarization Vector for Quantum Systems of Arbitrary Dimension
Affine Maps the Polarization Vector Quantum Systems Arbitrary Dimension
2010/11/4
The operator-sum decomposition (OS) of a mapping from one density matrix to another has many applications in quantum information science. To this mapping there corresponds an affine map which provides...
Universal routes to spontaneous PT-symmetry breaking in non-hermitian quantum systems
Universal routes spontaneous PT-symmetry non-hermitian quantum systems
2010/11/8
PT-symmetric systems can have a real spectrum even when their Hamiltonian is non-hermitian, but develop a complex spectrum when the degree of non-hermiticity increases. Here we utilize random-matrix t...
Unified analysis of terminal-time control in classical and quantum systems
unified analysis terminal-time control classical and quantum systems
2010/11/8
Many phenomena in physics, chemistry, and biology involve seeking an optimal control to maximize an objective for a classical or quantum system which is open and interacting with its environment. The ...
Conservation laws, integrability and transport in one-dimensional quantum systems
Conservation laws one-dimensional quantum systems
2010/11/18
In integrable one-dimensional quantum systems an infinite set of local conserved quantities exists which can prevent a current from decaying completely. For cases like the spin current in the XXZ mode...
In the present paper, first the mathematical basic properties of the exceptional points are discussed. Then, their role in the description of real physical quantum systems is considered. Most interest...
We study the effects of decoherence on the entanglement generated by Unruh effect in noninertial frames by using bit flip, phase damping and depolarizing channels. It is shown that decoherence strongl...
Wave packet evolution in non-Hermitian quantum systems
packet evolution non-Hermitian quantum
2010/11/8
The quantum evolution of the Wigner function for Gaussian wave packets generated by a non-Hermitian Hamiltonian is investigated. In the semiclassical limit $\hbar\to 0$ this yields the non-Hermitian a...