BEGIN:VCALENDAR
VERSION:2.0
BEGIN:VEVENT
SUMMARY:Area-law and universality in the statistics of the subsystem energy
DESCRIPTION:Consider a quantum chain in its ground state and then take a
subdomain of this system with natural truncated
hamiltonian. Since the total hamiltonian does not commute with
the truncated hamiltonian the subsystem can be in one of its
eigenenergies with different probabilities. Since the global
energy eigenstates are locally close to diagonal in the local
energy eigenbasis we argue that the Renyi entropy of these
probabilities follows an area-law for the gapped systems. When
the system is at the critical point the Renyi entropy follows a
logarithmic behaviour with a universal coefficient which is
proportional to the central charge. Our results show that the
Renyi entropy of the subsystem energies closely mimics the
behaviour of the entanglement entropy in the quantum chains. We
also connect our problem to the Loschmidt echo setup which may
help to measure the generating function of our probabilities
using the current technologies. Since the introduced
probabilities follow closely the Schmidt coefficients our
protocol can be used to measure the Schmidt coefficients
effectively.
LOCATION:Erwin SchrÃ¶dinger Saal
DTSTART:20190214T131500
DTEND:20190214T141500
TZID: Europe/Vienna
END:VEVENT
END:VCALENDAR