scholarly journals One-half of the Kibble–Zurek quench followed by free evolution

2018 ◽  
Vol 2018 (7) ◽  
pp. 073105 ◽  
Author(s):  
Michał Białończyk ◽  
Bogdan Damski
Keyword(s):  
2017 ◽  
Vol 19 (38) ◽  
pp. 25961-25969 ◽  
Author(s):  
A. N. Pravdivtsev ◽  
A. V. Yurkovskaya ◽  
P. A. Petrov ◽  
H.-M. Vieth

Observing the free evolution of a pure singlet state allows one to obtain a 2D ZQ spectrum (ΔJ spectrum).


2019 ◽  
Vol 20 (11) ◽  
pp. 3633-3650
Author(s):  
Andrzej Herdegen

Abstract We consider a Schrödinger particle placed in an external electromagnetic field of the form typical for scattering settings in the field theory: $$F=F^\mathrm {ret}+F^\mathrm {in}=F^\mathrm {adv}+F^\mathrm {out}$$ F = F ret + F in = F adv + F out , where the current producing $$F^{\mathrm {ret}/\mathrm {adv}}$$ F ret / adv has the past and future asymptotes homogeneous of degree $$-3$$ - 3 , and the free fields $$F^{\mathrm {in}/\mathrm {out}}$$ F in / out are radiation fields produced by currents with similar asymptotic behavior. We show that with appropriate choice of electromagnetic gauge the particle has ‘in’ and ‘out’ states reached with no further modification of the asymptotic dynamics. We use a special quantum mechanical evolution ‘picture’ in which the free evolution operator has well-defined limits for $$t\rightarrow \pm \infty $$ t → ± ∞ , and thus the scattering wave operators do not need the free evolution counteraction. The existence of wave operators in this setting is established, but the proof of asymptotic completeness is not complete: more precise characterization of the asymptotic behavior of the particle for $$|\mathbf {x}|=|t|$$ | x | = | t | would be needed.


2015 ◽  
Vol 276 (2) ◽  
pp. 257-280 ◽  
Author(s):  
Michael Anshelevich
Keyword(s):  

2018 ◽  
Vol 2018 (4) ◽  
pp. 043214 ◽  
Author(s):  
Felix Fabis ◽  
Elena Kozlikin ◽  
Robert Lilow ◽  
Matthias Bartelmann

2015 ◽  
Vol 354 ◽  
pp. 244-264 ◽  
Author(s):  
Alessandro Bisio ◽  
Giacomo Mauro D’Ariano ◽  
Alessandro Tosini

2015 ◽  
Vol 91 (4) ◽  
Author(s):  
Dariusz Chruściński ◽  
Antonino Messina ◽  
Benedetto Militello ◽  
Anna Napoli

2011 ◽  
Vol 1 (5) ◽  
pp. 23
Author(s):  
Carlos Krus Abecasis

The described case history is known since the Xth century, and on a scientific level since the end of XVIIIth. Origin and free evolution of the inlet up to 1800, as well as results obtained by artificial improvement attempts subsequently undertaken, are analysed, in order to investigate the main features of local physiography and the way it reacts to human interventions intended to meet ever-increasing navigation requirements. The remarkable success of the projects undertaken, especially of that being executed, seems to legitimate the inference of some principles of general interest as long as tidal lagoon inlets improvement is concerned. Stress is laid upon difference from principles valid in estuaries’ amelioration.


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