Physics – Quantum Physics
Scientific paper
2010-05-07
Phys. Rev. Lett. 105, 260401 (2010)
Physics
Quantum Physics
6 pages, 1 figure. Emphasis changed
Scientific paper
10.1103/PhysRevLett.105.260401
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.
Eisert Jens
Osborne Tobias J.
Verstraete Frank
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