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We investigate the computational power of creating steady-states of quantum dissipative systems whose evolution is governed by time-independent and local couplings to a memoryless environment.
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This mechanism is different to the one usually considered in condensed matter physics, where instead of the system’s steady state, the ground state of the system–plus–environment experiences abrupt changes when the interaction is modified [ 10 ]
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I. Bloch, J. Dalibard, W. Zwerger, Many-Body Physics with Ultracold Gases, Rev. Mod. Phys. (to be published), e-print arXiv: 0704.3011
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To simplify matters we assume that the number of interactions is proportional to the number of sites, and denote it, with some abuse of notation, by N N as well
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M.M. Wolf, J.I. Cirac, Dividing Quantum Channels, Comm. Math. Phys. 279, 147 (2008)
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D. Perez-Garcia, F. Verstraete, J.I. Cirac, M.M. Wolf, PEPS as unique ground states of local Hamiltonians, Quant. Inf. Comp. 8, 0650 (2008)
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