Model-Independent Simulation Complexity of Complex Quantum Dynamics
arXiv:2009.00495 · doi:10.1103/PhysRevLett.126.150402
Abstract
We present a model-independent measure of dynamical complexity based on simulating complex quantum dynamics using stroboscopic Markovian dynamics. Tools from classical signal processing enable us to infer the Hilbert space dimension of a complex quantum system evolving under a time-independent Hamiltonian via pulsed interrogation. We evaluate our model-independent simulation complexity (MISC) for the spin-boson model and simulated third-order pump-probe spectroscopy data for exciton transport in coupled dimers with vibrational levels. The former provides insights into coherence and population dynamics in the two-level system while the latter reveals the dimension of the singly-excited manifold of the dimer. Finally, we probe the complexity of excitonic transport in light harvesting 2 (LH2) and Fenna-Matthews-Olson (FMO) complexes using data from two recent nonlinear ultrafast optical spectroscopy experiments. For the latter we make some model-independent inferences that are commensurate with model-specific ones. This includes estimating the fewest number of parameters needed to fit the experimental data and identifying the spatial extent, i.e., delocalization size, of quantum states occurring in this complex quantum dynamics.
arXiv comment21 pages, inculding 6 appendices and 10 figures
References in corpus (15)
- Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM)
- Thermalizing Quantum Machines: Dissipation and Entanglement
- Quantum Hamiltonian identification from measurement time traces
- All (qubit) decoherences: Complete characterization and physical implementation
- Simulation complexity of open quantum dynamics: Connection with tensor networks
- Identification of open quantum systems from observable time traces
- Assessing dimensions from evolution
- Exact dimension estimation of interacting qubit systems assisted by a single quantum probe
- Intramolecular Vibrations Complement the Robustness of Primary Charge Separation in a Dimer Model of the Photosystem II Reaction Center
- Spectral Quantum Tomography
- Quantum leakage detection using a model-independent dimension witness
- Quantum Process Identification: A Method for Characterizing Non-Markovian Quantum Dynamics
- Ergodicity probes: using time-fluctuations to measure the Hilbert space dimension
- Towards a Spectroscopic Protocol for Unambiguous Detection of Quantum Coherence in Excitonic Energy Transport
- Testing microscopic discretization