scholarly journals Partial dynamical symmetries in quantum systems

2012 ◽  
Vol 380 ◽  
pp. 012002 ◽  
Author(s):  
A Leviatan
2021 ◽  
Vol 10 (6) ◽  
Author(s):  
Rouven Frassek ◽  
Cristian Giardinà ◽  
Jorge Kurchan

We develop the `duality approach', that has been extensively studied for classical models of transport, for quantum systems in contact with a thermal `Lindbladian' bath. The method provides (a) a mapping of the original model to a simpler one, containing only a few particles and (b) shows that any dynamic process of this kind with generic baths may be mapped onto one with equilibrium baths. We exemplify this through the study of a particular model: the quantum symmetric exclusion process introduced in [1]. As in the classical case, the whole construction becomes intelligible by considering the dynamical symmetries of the problem.


2007 ◽  
Vol 70 (3) ◽  
pp. 496-504 ◽  
Author(s):  
J. A. Calzada ◽  
J. Negro ◽  
M. A. del Olmo

1993 ◽  
Vol 163 (9) ◽  
pp. 1 ◽  
Author(s):  
B.D. Agap'ev ◽  
M.B. Gornyi ◽  
B.G. Matisov ◽  
Yu.V. Rozhdestvenskii

2018 ◽  
Vol 189 (05) ◽  
Author(s):  
Vladislav Yu. Shishkov ◽  
Evgenii S. Andrianov ◽  
Aleksandr A. Pukhov ◽  
Aleksei P. Vinogradov ◽  
A.A. Lisyansky

Author(s):  
Richard Healey

Often a pair of quantum systems may be represented mathematically (by a vector) in a way each system alone cannot: the mathematical representation of the pair is said to be non-separable: Schrödinger called this feature of quantum theory entanglement. It would reflect a physical relation between a pair of systems only if a system’s mathematical representation were to describe its physical condition. Einstein and colleagues used an entangled state to argue that its quantum state does not completely describe the physical condition of a system to which it is assigned. A single physical system may be assigned a non-separable quantum state, as may a large number of systems, including electrons, photons, and ions. The GHZ state is an example of an entangled polarization state that may be assigned to three photons.


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