Holographic Quantum States

Author(s): T. J. Osborne, J. Eisert, F. Verstraete

Journal: Physical Review Letters

Volume: 105

Page(s): 260401

Year: 2010

DOI Number: 10.1103/PhysRevLett.105.260401

Link: Link to publication


We show how continuous matrix product states of quantum field theories can be described in terms of the dissipative non-equilibrium dynamics of a lower-dimensional auxiliary boundary field theory. We demonstrate that the spatial correlation functions of the bulk field can be brought into one-to-one correspondence with the temporal statistics of the quantum jumps of the boundary field. This equivalence: (1) illustrates an intimate connection between the theory of continuous quantum measurement and quantum field theory; (2) gives an explicit construction of the boundary field theory allowing the extension of real-space renormalization group methods to arbitrary dimensional quantum field theories without the introduction of a lattice parameter; and (3) yields a novel interpretation of recent cavity QED experiments in terms of quantum field theory, and hence paves the way toward observing genuine quantum phase transitions in such zero-dimensional driven quantum systems.

Note: http://arxiv.org/abs/1005.1268

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