415 research outputs found
Holographic fluctuations and the principle of minimal complexity
We discuss, from a quantum information perspective, recent proposals of
Maldacena, Ryu, Takayanagi, van Raamsdonk, Swingle, and Susskind that spacetime
is an emergent property of the quantum entanglement of an associated boundary
quantum system. We review the idea that the informational principle of minimal
complexity determines a dual holographic bulk spacetime from a minimal quantum
circuit U preparing a given boundary state from a trivial reference state. We
describe how this idea may be extended to determine the relationship between
the fluctuations of the bulk holographic geometry and the fluctuations of the
boundary low-energy subspace. In this way we obtain, for every quantum system,
an Einstein-like equation of motion for what might be interpreted as a bulk
gravity theory dual to the boundary system.Comment: 10 pages, 4 figure
Thermal states of random quantum many-body systems
We study a distribution of thermal states given by random Hamiltonians with a
local structure. We show that the ensemble of thermal states monotonically
approaches the unitarily invariant ensemble with decreasing temperature if all
particles interact according to a single random interaction and achieves a
state -design at temperature . For the system where the random
interactions are local, we show that the ensemble achieves a state -design.
We then provide numerical evidence indicating that the ensemble undergoes a
phase transition at finite temperature.Comment: 5 pages, 4 figure
- …