A periodic matrix product operator representation of the influence functional yields a numerically exact Floquet propagator for non-Markovian dynamics in strongly damped driven quantum systems.
Verifying Quantum Memory in the Dynamics of Spin Boson Models
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abstract
We investigate the nature of memory effects in the non-Markovian dynamics of spin boson models. Local quantum memory criteria can be used to indicate that the reduced dynamics of an open system necessarily requires a quantum memory in its environment. We apply two such criteria, derived from different definitions put forward in the literature, to spin boson and two-spin boson models. For the computation of dynamical maps and process tensors, we employ a numerically exact method for non-Markovian open system dynamics based on matrix product operator influence functionals, that can be applied across broad parameter regimes. We find that, with access to single-intervention process tensors, one can generally predict quantum memory in the dynamics at low temperatures. Given instead only the dynamical map, we are still able to detect quantum memory in the case of resonant environments at short evolution times. Moreover, we confirm quantum memory in the stationary dynamical regime using process tensors with the correlated steady state of system and environment as initial condition.
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UNVERDICTED 4representative citing papers
A time-translation-invariant MPO process tensor from uniTEMPO gives direct Fourier-space access to multi-time correlations, reducing the cost of multi-dimensional spectra for strongly coupled non-Markovian reservoirs.
IBM quantum hardware verifies quantum memory in non-Markovian single-qubit dynamics via collision-model circuits, with a toy example for two-qubit cases.
Local quantum memory criteria applied via matrix product operator methods show that single-intervention process tensors generally predict quantum memory at low temperatures in spin-boson models, while dynamical maps detect it for resonant environments at short times.
citing papers explorer
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Exact Floquet dynamics of strongly damped driven quantum systems
A periodic matrix product operator representation of the influence functional yields a numerically exact Floquet propagator for non-Markovian dynamics in strongly damped driven quantum systems.
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Uniform process tensor approach for the calculation of multi-time correlation functions of non-Markovian open systems
A time-translation-invariant MPO process tensor from uniTEMPO gives direct Fourier-space access to multi-time correlations, reducing the cost of multi-dimensional spectra for strongly coupled non-Markovian reservoirs.
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Revealing the quantum nature of memory in non-Markovian dynamics on IBM Quantum
IBM quantum hardware verifies quantum memory in non-Markovian single-qubit dynamics via collision-model circuits, with a toy example for two-qubit cases.
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Verifying Quantum Memory in the Dynamics of Spin Boson Models
Local quantum memory criteria applied via matrix product operator methods show that single-intervention process tensors generally predict quantum memory at low temperatures in spin-boson models, while dynamical maps detect it for resonant environments at short times.