Quantum simulations of dissipative dynamics: time-dependence instead of size
Autor: | Daniel Burgarth, Florian Mintert, Benjamin Dive |
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Rok vydání: | 2015 |
Předmět: |
Physics
Quantum Physics Quantum decoherence Existential quantification FOS: Physical sciences 01 natural sciences Open system (systems theory) Atomic and Molecular Physics and Optics 010305 fluids & plasmas Quantum technology symbols.namesake Open quantum system Classical mechanics 0103 physical sciences symbols 010306 general physics Dissipative dynamics Hamiltonian (quantum mechanics) Quantum Physics (quant-ph) Quantum |
DOI: | 10.48550/arxiv.1503.01010 |
Popis: | The simulation of quantum systems has been a key aim of quantum technologies for decades, and the generalisation to open systems is necessary to include physically realistic systems. We introduce an approach for quantum simulations of open system dynamics in terms of an environment of minimal size and a time-dependent Hamiltonian. This enables the implementation of a continuous-time simulation with a finite environment, whereas state of the art methods require an infinite environment or only match the simulation at discrete times. We find necessary and sufficient conditions for this Hamiltonian to be well behaved and, when these are not met, we show that there exists an approximate Hamiltonian that is, and look into its applications. Comment: 9 pages, 4 figures |
Databáze: | OpenAIRE |
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