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OSYRIS Report Summary

Project ID: 339106
Funded under: FP7-IDEAS-ERC
Country: Spain

Mid-Term Report Summary - OSYRIS (Open SYstems RevISited: From Brownian motion to quantum simulators)

A) In the part A, which deals with classical Brownian motion, we have constructed families of novel models describing media with random diffusion “patches” [Phys. Rev. Lett. 112, 150603 (2014)] or based on the confinement of the particle by randomly placed reflecting boundaries [arxiv: 1504.07158]. These models describe in certain regimes anomalous sub-diffusion and non-ergodic behaviour and aging. They do not reduce to Continuous Time Random Walk models and describe many interesting phenomena from physics to biology. In collaboration with bio-photonics group of Maria García-Parajo we have applied these models to describe weak ergodicity breaking of receptor motion in living cells stemming from random diffusivity [Phys. Rev. X 5, 011021 (2015)].

B) In the part B, which deals with classical many body stochastic processes, we have focused on i) development of tensor network codes, suitable for simulations of classical many body stochastic dynamics; ii) formulations of microscopic models of impurity random walker with transient interactions with heterogeneous partners [arxiv. 160700189] and in a medium with random diffusivity “patches” which have stochastic dynamics themselves [in preparation]. We studied classical spin models with broken symmetry and random field induced order – such models may serve as convenient baths for an “anomalous” random walker [Phys. Rev. B 90, 174408 (2014)]. We introduced a class of percolation models which can be used in subsequent works as environments for a random walker to diffuse in [Phys. Rev. E 93, 022127]. We proposed a new theoretical approach to study the propagation of planar scalar complex fields showing phase singularities, whose distribution can be stochastic [J. Opt. 18 064006 (2016)]. We introduced a formalism aimed to deal with systems where a classical and a quantum sector coexist [Phys. Scr. 014005 (2014)]. We presented a framework aimed to treat decoherence in classical environments [Phys. Rev. A 90, 042120 (2014)].

C) In the part C, which deals with open systems quantum simulators, we made a significant progress in studying quantum simulators of lattice gauge theories and synthetic gauge fields in general – in particular
i) in novel quantum simulators of classical spin glasses and other NP-hard problems [Nat. Commun. 7:11524 (2016)].
ii) in studies of systems with dipolar/long range forces New J. Phys. (Fast Track Comm.) 16, 052002; EPJ Quantum Technology 2014; 1:8],
iii) in ultracold gases [Phys. Rev. A 93, 021605] and its experimental realization of exciton Bose condensates [EPL 107 10012],
iv) in THz field control of symmetry-breaking order in correlated materials [Nature Commun. 6, 8175, Phys. Rev. B 93, 064434] and models for condensed matter systems [Phys. Rev. A 93, 043611, J. Stat. Mech. 2014, P09035, Phys. Rev. Lett. 112, 223601], looking to magnetization [arXiv:1509.00704] and superconductivity phenomena [Phys. Rev. Lett. 116, 225303];
v) in a review on nonstandard Hubbard models [Rep. Prog. Phys. 78, 066001] and a overview of frontiers and challenges in quantum technologies [Physica Scripta special issue on Year of Light].
vi) in development of new numerical approaches to lattice gauge theories [arXiv:1601.03303, arXiv:160609505], in particular using tensor network states [Phys. Rev. X 4, 041024, Phys. Rev. E 93, 053310, Phys. Rev. A 93, 033605, Phys. Rev. E 93, 053310, arXiv:1508.03451, arXiv:1507.00767, arXiv:160500940], and quantum chemistry methods [New J. Phys. 17, 115001, Phys. Rev. A 92, 061601, Phys. Rev. A 92, 062701, New J. Phys. 17, 115001, Phys. Rev. A 92, 061601, Phys. Rev. Lett. 115, 063201];
vii) in studies of detection of topological and entanglement properties in many body systems [Science 344, 1256 ; Phys. Rev. Lett. 113, 045303; Annals of Physics 362 370, arXiv:1602.05407, Annals of Physics, New J. Phys. 17 045007, Phys. Rev. B 91, 035120, J. Stat. Mech. P06001].
viii) in a review in out-of-equlibrium quantum systems [Rep. Prog. Phys. 79, 056001 (2016)]. In general, a considerable effort was devoted to the study of out-of-equilbrium systems [arXiv:1601.00671, Phys. Rev. A 92, 023634, Rep. Prog. Phys. 79, 056001, Phys. Rev. X 4, 021011] and quantum themodynamics [New J. Phys. 17, 85007, arXiv:1604.03378].

D) Finally, in part D, which deals with quantum Brownian motion we formulated a general theory of quantum Brownian motion in systems with non-homogenous damping and diffusion [Phys. Rev. A 91, 033627 (2015)]. We performed the Lindblad extension of the quantum Brownian motion [arXiv:1604.06033] and introduced a method to engineer quantum random walk with cold atoms [arXiv:1604.06082]. We studied the entanglement properties of an impurity in a BEC, which is a system that allows to study the quantum brownian motion of the impurity immersed in the BEC [J. Phys. B 49, 075303 (2016)].


Dolors Mateu, (Manager)
Tel.: +34935534053
Record Number: 193207 / Last updated on: 2017-01-16
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