Kavli Affiliate: Masahiro Nozaki
| First 5 Authors: Kanato Goto, Masahiro Nozaki, Shinsei Ryu, Kotaro Tamaoka, Mao Tian Tan
| Summary:
We study quantum quench processes in (1+1)-dimensional conformal field theory
(CFT) in which the initial thermal equilibrium (Gibbs) state is time-evolved by
spatially inhomogeneous Hamiltonians, the so-called M"obius and
sine-square-deformed (SSD) Hamiltonians. We found that, when the quench is
induced by the SSD Hamiltonian, almost all the degrees of freedom are
asymptotically gathered at a single point, resulting in a point-like
excitation. This excitation, which we dub black hole-like excitation, carries
as much information as the total thermal entropy. In contrast, other parts of
the system approach the low-entropy (low-temperature) state at late times. For
the quench by the M"obius Hamiltonian, we instead found an eternal periodic
oscillation of physical quantities such as von Neumann entropy for subsystems.
When the CFT admits a holographic dual description, the SSD quench induces a
time-dependent, inhomogeneous deformation of the bulk black hole horizon,
which, at late enough times, “touches” the boundary. Our quench setups can be
used as a way to create low-temperature states, and, also, simulate the
formation and evaporation processes of black holes.
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