TY - JOUR
T1 - Entanglement entropy of squeezed vacua on a lattice
AU - Bianchi, Eugenio
AU - Hackl, Lucas
AU - Yokomizo, Nelson
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/10/29
Y1 - 2015/10/29
N2 - We derive a formula for the entanglement entropy of squeezed states on a lattice in terms of the complex structure J. The analysis involves the identification of squeezed states with group-theoretical coherent states of the symplectic group and the relation between the coset Sp(2N,R)/Isot(J0) and the space of complex structures. We present two applications of the new formula: (i) we derive the area law for the ground state of a scalar field on a generic lattice in the limit of small speed of sound, (ii) we compute the rate of growth of the entanglement entropy in the presence of an instability and show that it is asymptotically bounded from above by the Kolmogorov-Sinai rate.
AB - We derive a formula for the entanglement entropy of squeezed states on a lattice in terms of the complex structure J. The analysis involves the identification of squeezed states with group-theoretical coherent states of the symplectic group and the relation between the coset Sp(2N,R)/Isot(J0) and the space of complex structures. We present two applications of the new formula: (i) we derive the area law for the ground state of a scalar field on a generic lattice in the limit of small speed of sound, (ii) we compute the rate of growth of the entanglement entropy in the presence of an instability and show that it is asymptotically bounded from above by the Kolmogorov-Sinai rate.
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U2 - 10.1103/PhysRevD.92.085045
DO - 10.1103/PhysRevD.92.085045
M3 - Article
AN - SCOPUS:84946934955
SN - 1550-7998
VL - 92
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 8
M1 - 085045
ER -