ELFT HÍRADÓ

[tcsaba <tcsaba AT eik.bme.hu>]

                 M E G H Í V Ó - I N V I T A T I O N

    Seminar Series of the Department of Theoretical Physics at the
           Budapest University of Technology and Economics

                           Balázs Dóra
               (Department of Theoretical Physics,
         Budapest University of Technology and Economics)

  Momentum-space entanglement and Loschmidt echo in Luttinger liquids


Luttinger liquids arise by coupling left- and right-moving particles 
through interactions in one dimension. This most natural partitioning of 
Luttinger liquids is investigated by the momentum-space entanglement 
after a quantum quench using analytical and numerical methods. We show 
that the momentum-space entanglement spectrum of a LL possesses many 
universal features both in equilibrium and after a quantum quench. The 
largest entanglement eigenvalue is identical to the Loschmidt echo, i.e. 
the overlap of the disentangled and final wavefunctions of the system. 
The entanglement gap is universal both in equilibrium and after a 
quantum quench. The momentum-space entanglement entropy is always 
extensive and saturates fast to a time independent value after the 
quench, in sharp contrast to a spatial bipartitioning.


Időpont: 2017. szeptember 8. péntek, 14:15
Helyszín: BME Fizikai Intézet, Elméleti Fizika Tanszék,
Budafoki út 8. F-épület, III lépcsőház, szemináriumi szoba