A large class of solvable discrete-time many-body problems

2014 ◽  
Vol 55 (8) ◽  
pp. 082703 ◽  
Author(s):  
Mario Bruschi ◽  
Francesco Calogero ◽  
François Leyvraz
Keyword(s):  
Nature ◽  
2017 ◽  
Vol 543 (7644) ◽  
pp. 221-225 ◽  
Author(s):  
Soonwon Choi ◽  
Joonhee Choi ◽  
Renate Landig ◽  
Georg Kucsko ◽  
Hengyun Zhou ◽  
...  

2020 ◽  
Vol 11 (1) ◽  
pp. 467-499 ◽  
Author(s):  
Dominic V. Else ◽  
Christopher Monroe ◽  
Chetan Nayak ◽  
Norman Y. Yao

Experimental advances have allowed for the exploration of nearly isolated quantum many-body systems whose coupling to an external bath is very weak. A particularly interesting class of such systems is those that do not thermalize under their own isolated quantum dynamics. In this review, we highlight the possibility for such systems to exhibit new nonequilibrium phases of matter. In particular, we focus on discrete time crystals, which are many-body phases of matter characterized by a spontaneously broken discrete time-translation symmetry. We give a definition of discrete time crystals from several points of view, emphasizing that they are a nonequilibrium phenomenon that is stabilized by many-body interactions, with no analog in noninteracting systems. We explain the theory behind several proposed models of discrete time crystals, and compare several recent realizations, in different experimental contexts.


2021 ◽  
Vol 127 (9) ◽  
Author(s):  
N. Maskara ◽  
A. A. Michailidis ◽  
W. W. Ho ◽  
D. Bluvstein ◽  
S. Choi ◽  
...  

2019 ◽  
Vol 100 (21) ◽  
Author(s):  
Pekik Nurwantoro ◽  
Raditya Weda Bomantara ◽  
Jiangbin Gong

2006 ◽  
Vol 20 (17) ◽  
pp. 1059-1066 ◽  
Author(s):  
MARCO FRASCA

Intrinsic decoherence in the thermodynamic limit is shown for a large class of many-body quantum systems in the unitary evolution in NMR and cavity QED. The effect largely depends on the inability of the system to recover the phases. Gaussian decaying in time of the fidelity is proved for spin systems and radiation-matter interaction.


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