Non-Markovianity in quantum networks

• Grant number: 14/20941-7
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor
• Start date until: January 30, 2015
• End date until: January 29, 2016
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Felipe Fernandes Fanchini
• Grantee: Goktug Karpat
• Supervisor: Sabrina Maniscalco
• Host Institution: Faculdade de Ciências (FC). Universidade Estadual Paulista (UNESP). Campus de Bauru. Bauru , SP, Brazil
• Institution abroad: University of Turku, Finland
• Associated to the scholarship: 12/18558-5 - Studying the monogamic relations between entanglement and quantum correlations, BP.PD

Abstract

While the investigation of classical complex networks has proved to be fundamental to countless areas of both natural and social sciences ranging from sociology to physics, the study of their quantum mechanical counterpart has only started to emerge very recently. Complex quantum networks are promising candidates for describing and understanding multidisciplinary problems, such as quantum transport in biological systems. It has been demonstrated that phenomenon of synchronization among different oscillatory modes of complex networks can be observed in the quantum regime when the nodes are in interaction with an external reservoir. On the other hand, the existence of a general connection between non-Markovianity, in terms of information backflow from the reservoir to the system, and the specific features of the reservoir is a very important basic question which does not yet have a complete answer. It is very desirable to explore this connection focussing in particular on complex quantum systems characterized by highly structured environments. In this project, we will investigate this question in the framework of quantum networks, focussing on the connection between the topology of quantum networks (seen as quantum environments), the form of the spectral distribution of the reservoir, and the behaviour of information flow. Moreover, we will also study the potential ability of the indicators of non Markovian behavior to reveal the phenomenon of synchronization in complex quantum networks. (AU)

Scientific publications

(8)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GEDIK, Z.; SILVA, I. A.; CAKMAK, B.; KARPAT, G.; VIDOTO, E. L. G.; SOARES-PINTO, D. O.; DEAZEVEDO, E. R.; FANCHINI, F. F.. Computational speed-up with a single qudit. SCIENTIFIC REPORTS, v. 5, OCT 8 2015. (14/20941-7, 14/21792-5, 12/50464-0)

LIU, BI-HENG; HU, XIAO-MIN; CHEN, JIANG-SHAN; ZHANG, CHAO; HUANG, YUN-FENG; LI, CHUAN-FENG; GUO, GUANG-CAN; KARPAT, GOKTUG; FANCHINI, FELIPE F.; PIILO, JYRKI; et al. Time-invariant entanglement and sudden death of nonlocality. Physical Review A, v. 94, n. 6, DEC 9 2016. (14/20941-7, 15/05581-7, 12/18558-5, 08/57856-6)

MALVEZZI, A. L.; KARPAT, G.; CAKMAK, B.; FANCHINI, F. F.; DEBARBA, T.; VIANNA, R. O.. Quantum correlations and coherence in spin-1 Heisenberg chains. Physical Review B, v. 93, n. 18, MAY 24 2016. (15/05581-7, 12/18558-5, 14/20941-7, 14/21792-5, 08/57856-6)

KARPAT, GOKTUG; PIILO, JYRKI; MANISCALCO, SABRINA. Controlling entropic uncertainty bound through memory effects. EPL, v. 111, n. 5, SEP 2015. (14/20941-7)

ADDIS, CAROLE; KARPAT, GOKTUG; MANISCALCO, SABRINA. Time-invariant discord in dynamically decoupled systems. Physical Review A, v. 92, n. 6, DEC 7 2015. (14/20941-7)

CAKMAK, BARIS; KARPAT, GOEKTUG; FANCHINI, FELIPE F.. Factorization and Criticality in the Anisotropic XY Chain via Correlations. Entropy, v. 17, n. 2, p. 790-817, 2015. (14/20941-7, 08/57856-6, 12/18558-5, 12/50464-0)

MALVEZZI, A. L.; KARPAT, G.; CAKMAK, B.; FANCHINI, F. F.; DEBARBA, T.; VIANNA, R. O.. Quantum correlations and coherence in spin-1 Heisenberg chains. PHYSICAL REVIEW B, v. 93, n. 18, p. 8-pg., 2016-05-24. (08/57856-6, 14/21792-5, 14/20941-7, 12/18558-5, 15/05581-7)

LIU, BI-HENG; HU, XIAO-MIN; CHEN, JIANG-SHAN; ZHANG, CHAO; HUANG, YUN-FENG; LI, CHUAN-FENG; GUO, GUANG-CAN; KARPAT, GOKTUG; FANCHINI, FELIPE F.; PIILO, JYRKI; et al. Time-invariant entanglement and sudden death of nonlocality. PHYSICAL REVIEW A, v. 94, n. 6, p. 5-pg., 2016-12-09. (08/57856-6, 15/05581-7, 14/20941-7, 12/18558-5)