Engineering quantum spin liquids and many-body Majorana states with a driven superconducting box circuit

被引：7

作者：

Yang, Fan ^{[1
]}

Henriet, Loic ^{[2
]}

Soret, Ariane ^{[1
,3
]}

Le Hur, Karyn ^{[1
]}

机构：

[1] Univ Paris Saclay, CNRS, Ecole Polytech, CPHT, Route Saclay, F-91128 Palaiseau, France

[2] Barcelona Inst Sci & Technol, ICFO Inst Ciencies Foton, Castelldefels 08860, Barcelona, Spain

[3] Technion Israel Inst Technol, Dept Phys, IL-32000 Haifa, Israel

来源：

PHYSICAL REVIEW B | 2018年 / 98卷 / 03期

关键词：

NON-ABELIAN STATISTICS; FERMIONS; PHASE;

D O I：

10.1103/PhysRevB.98.035431

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We design a driven superconducting box with four spins S = 1/2 (qubits) such that coupled devices can give insight on the occurrence of quantum spin liquids and many-body Majorana states. Within one box or island, we introduce a generalized nuclear magnetic resonance algorithm to realize our models and study numerically the spin observables in time as well as the emergent gauge fields. We discuss the stability of the box towards various detuning effects and we include dissipation effects through a Lindblad master equation. Coupling boxes allows us to realize quantum spin-liquid phases of Kitaev Z(2) spin models in various geometrieswith applications in the toric code. Quantum phase transitions andMajorana physics might be detected by measuring local susceptibilities. We show how to produce a Neel state of fluxes by coupling boxes and we address the role of local impurity fluxes leading to random Ising models. We also present an implementation of the Sachdev-Ye-Kitaev Majorana model in coupled ladder systems.

引用

页数：13

共 72 条

[1] LARGE-N LIMIT OF THE HEISENBERG-HUBBARD MODEL - IMPLICATIONS FOR HIGH-TC SUPERCONDUCTORS [J].

AFFLECK, I ;

MARSTON, JB .

PHYSICAL REVIEW B, 1988, 37 (07) :3774-3777

[2] Non-Abelian statistics and topological quantum information processing in 1D wire networks [J].

Alicea, Jason ;

Oreg, Yuval ;

Refael, Gil ;

von Oppen, Felix ;

Fisher, Matthew P. A. .

NATURE PHYSICS, 2011, 7 (05) :412-417

[3] THE RESONATING VALENCE BOND STATE IN LA2CUO4 AND SUPERCONDUCTIVITY [J].

ANDERSON, PW .

SCIENCE, 1987, 235 (4793) :1196-1198

[4]

[Anonymous], ARXIV170107056

[5]

Banerjee A, 2016, NAT MATER, V15, P733, DOI [10.1038/nmat4604, 10.1038/NMAT4604]

[6] Superconducting quantum circuits at the surface code threshold for fault tolerance [J].

Barends, R. ;

Kelly, J. ;

Megrant, A. ;

Veitia, A. ;

Sank, D. ;

Jeffrey, E. ;

White, T. C. ;

Mutus, J. ;

Fowler, A. G. ;

Campbell, B. ;

Chen, Y. ;

Chen, Z. ;

Chiaro, B. ;

Dunsworth, A. ;

Neill, C. ;

O'Malley, P. ;

Roushan, P. ;

Vainsencher, A. ;

Wenner, J. ;

Korotkov, A. N. ;

Cleland, A. N. ;

Martinis, John M. .

NATURE, 2014, 508 (7497) :500-503

[7] A road to reality with topological superconductors [J].

Beenakker, Carlo ;

Kouwenhoven, Leo .

NATURE PHYSICS, 2016, 12 (07) :618-621

[8] Novel magnetic order in the pseudogap state of high-Tc copper oxides superconductors [J].

Bourges, Philippe ;

Sidis, Yvan .

COMPTES RENDUS PHYSIQUE, 2011, 12 (5-6) :461-479

[9] Atomic quantum simulator for lattice gauge theories and ring exchange models -: art. no. 040402 [J].

Büchler, HP ;

Hermele, M ;

Huber, SD ;

Fisher, MPA ;

Zoller, P .

PHYSICAL REVIEW LETTERS, 2005, 95 (04)

[10] Approximating the Sachdev-Ye-Kitaev model with Majorana wires [J].

Chew, Aaron ;

Essin, Andrew ;

Alicea, Jason .

PHYSICAL REVIEW B, 2017, 96 (12)

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