03- Non-Markovian continuous-time quantum random walks of multiple interacting particles
In a broad sense, any quantum-noise process
arising from the coupling of a dynamical system to the environment is
referred to as decoherence, and its understanding has provided a precise
explanation of the occurrence of classical behavior in nature. Thus
far, the most serious efforts have been directed to investigate
decoherence effects on single-particle transport; as a result, the
associated models do not show any divergence from classical wave
mechanics. Notably, even though there exist some investigations
examining the influence of decoherence and disorder on the dynamics of
two-particle systems, the joint effects of decoherence, particle
indistinguishability and inter-particle interactions are poorly
understood. Hence, advances in this front will combine to pave the way
to constructing more robust components for quantum sensors, quantum
information processors, and possibly a quantum computer.
The aim of this proposal is to investigate the
behavior of multiple interacting particles traversing dynamically
disordered quantum systems. At first place, we will investigate
decoherence effects in stochastic non-Markovian quantum walks of
identical interacting particles. To keep the theoretical-experimental
interface in a first plane, the theoretical work will be conducted
within the context of integrated quantum photonics. To do so, our
physical platform will be composed of multi-photon states exiting
complex systems implemented in engineered waveguide arrays.
Contributors
Prof. Alexander Szameit
Prof. Kurt Busch
Dr. Armando Perez Leija
Friederike Klauck
Max Ehrhardt
Nora Schmitt
References
S. Stützer, Y. Plotnik, Y. Lumer, P. Titum, N. H. Lindner, M. Segev, M. C. rechtsman, and A. Szameit, “Photonic topological Anderson insulators,” Nature 560,461-465(2018)
A. Perez-Leija, D. Guzmán-Silva, R. de J. León-Montiel, M. Gräfe, M. Heinrich, H. Moya-Cessa, K. Busch, and A. Szameit, “Endurance of quantum coherence due to particle indistinguishability in noisy quantum networks,” npj Quantum Information, 4, 45 (2018)
A. Perez-Leija, R. Leon-Montiel, J. Sperling, H. Moya-Cessa, A. Szameit, and K. Busch, “Two- particle four-point correlations in dynamically disordered tight-binding networks,” Journal of Physics B: Atomic, Molecular and Optical Physics, 51, 024002 (2018)
R. Román-Ancheyta, I. Ramos-Prieto, A. Perez-Leija, K. Busch, and R. de J. León-Montiel, Phys. Rev. A 96, 032501 (2017)
J. M. Zeuner, M. C. Rechtsman, Y. Plotnik, Y. Lumer, S. Nolte, M. S. Rudner, M. Segev, and A. Szameit, “Observation of a Topological Transition in the Bulk of a Non-Hermitian System,” Phys. Rev. Lett. 115(4), 040402 (2015)
S. Weimann, M. Kremer, Y. Plotnik, Y. Lumer, S. Nolte, K. G. Makris, M. Segev, M. C. Rechtsman, and A. Szameit, “Topologically protected bound states in photonic PT -symmetric crystals,” Nature Mater. 16 (4), 433–438 (2017)
L. J. Maczewsky, J. M. Zeuner, S. Nolte, and A. Szameit, “Observation of photonic anomalous Floquet Topological Insulators,” Nature Commun. 8, 13756 (2017)
