Quantum double-well chain: Ground-state phases and applications to hydrogen-bonded materials

1994 ◽  
Vol 49 (22) ◽  
pp. 15485-15494 ◽  
Author(s):  
Xidi Wang ◽  
D. K. Campbell ◽  
J. E. Gubernatis
Keyword(s):  
Ground State ◽  
Quantum Double ◽  
Bonded Materials ◽  
Ground State Phases ◽  
Hydrogen Bonded

scholarly journals Interacting bosonic flux ladders with a synthetic dimension: Ground-state phases and quantum quench dynamics

2020 ◽  
Vol 102 (5) ◽  
Author(s):  
Maximilian Buser ◽  
Claudius Hubig ◽  
Ulrich Schollwöck ◽  
Leticia Tarruell ◽  
Fabian Heidrich-Meisner
Keyword(s):  
Ground State ◽  
Quantum Quench ◽  
Quench Dynamics ◽  
Ground State Phases

scholarly journals Ground-state phases of a mixture of spin-1 and spin-2 Bose-Einstein condensates

2018 ◽  
Vol 97 (2) ◽  
Author(s):  
Naoki Irikura ◽  
Yujiro Eto ◽  
Takuya Hirano ◽  
Hiroki Saito
Keyword(s):  
Ground State ◽  
Bose Einstein ◽  
Ground State Phases

Dual fluorescence of 4-N,N-dimethylaminopyridine. Role of hydrogen-bonded complex in the ground state

1994 ◽  
Vol 80 (1-3) ◽  
pp. 125-133 ◽  
Author(s):  
C. Cazeau-Dubroca ◽  
G. Nouchi ◽  
M. Ben Brahim ◽  
M. Pesquer ◽  
D. Grose ◽  
...  
Keyword(s):  
Ground State ◽  
Dual Fluorescence ◽  
Hydrogen Bonded

scholarly journals Cylindrical quantum dots with hydrogen-bonded materials

2003 ◽  
Vol 14 (3) ◽  
pp. 358-365 ◽  
Author(s):  
Vjekoslav Sajfert ◽  
Rajka Ðajic ◽  
Miloje Cetkovic ◽  
Bratislav Tošic
Keyword(s):  
Quantum Dots ◽  
Bonded Materials ◽  
Hydrogen Bonded

scholarly journals Haag duality for Kitaev’s quantum double model for abelian groups

2015 ◽  
Vol 27 (09) ◽  
pp. 1550021 ◽  
Author(s):  
Leander Fiedler ◽  
Pieter Naaijkens
Keyword(s):  
Ground State ◽  
Abelian Groups ◽  
Finite Abelian Groups ◽  
Quantum Double ◽  
Haag Duality ◽  
Von Neumann ◽  
Infinite Lattice ◽  
Code Model ◽  
Algebraic Quantum ◽  
Local Observables

We prove Haag duality for cone-like regions in the ground state representation corresponding to the translational invariant ground state of Kitaev’s quantum double model for finite abelian groups. This property says that if an observable commutes with all observables localized outside the cone region, it actually is an element of the von Neumann algebra generated by the local observables inside the cone. This strengthens locality, which says that observables localized in disjoint regions commute. As an application, we consider the superselection structure of the quantum double model for abelian groups on an infinite lattice in the spirit of the Doplicher–Haag–Roberts program in algebraic quantum field theory. We find that, as is the case for the toric code model on an infinite lattice, the superselection structure is given by the category of irreducible representations of the quantum double.

scholarly journals LOCALIZED ENDOMORPHISMS IN KITAEV'S TORIC CODE ON THE PLANE

2011 ◽  
Vol 23 (04) ◽  
pp. 347-373 ◽  
Author(s):  
PIETER NAAIJKENS
Keyword(s):  
Representation Theory ◽  
Group Algebra ◽  
Ground State ◽  
Algebraic Approach ◽  
Quantum Spin ◽  
Spin Systems ◽  
Quantum Spin Systems ◽  
Quantum Double ◽  
Code Model ◽  
Toric Code

We consider various aspects of Kitaev's toric code model on a plane in the C*-algebraic approach to quantum spin systems on a lattice. In particular, we show that elementary excitations of the ground state can be described by localized endomorphisms of the observable algebra. The structure of these endomorphisms is analyzed in the spirit of the Doplicher–Haag–Roberts program (specifically, through its generalization to infinite regions as considered by Buchholz and Fredenhagen). Most notably, the statistics of excitations can be calculated in this way. The excitations can equivalently be described by the representation theory of [Formula: see text], i.e. Drinfel'd's quantum double of the group algebra of ℤ2.

Sign in / Sign up

Export Citation Format

Share Document