Multi-quantum eigenstates of a linear chain of coupled qubits

Abstract

We present a technique to identify exact analytic expressions for the multi-quantum eigenstates of a linear chain of coupled qubits. A choice of Hilbert subspaces is described which allows an exact solution of the stationary Schrödinger equation without imposing periodic boundary conditions and without neglecting end effects, fully including the dipole-dipole nearest-neighbor interaction between the atoms. The treatment is valid for an arbitrary coherent excitation in the atomic system, any number of atoms, any size of the chain relative to the resonant wavelength and arbitrary initial conditions of the atomic system. The procedure we develop is general enough to be adopted for the study of excitation in an arbitrary array of atoms including spin chains and one-dimensional Bose-Einstein condensates.

4 pages, accepted for publication in Physical Review A; New version incorporates a minor correction made in the published paper

References in corpus (8)

• Many-particle entanglement with Bose--Einstein condensates
• Quantum Computing Using Dissipation to Remain in a Decoherence-Free Subspace
• Entangled states and collective nonclassical effects in two-atom systems
• Atom Chips
• Stability of global entanglement in thermal states of spin chains
• Preparation of decoherence-free, subradiant states in a cavity
• Complete eigenstates of identical qubits arranged in regular polygons
• Collective excitations in circular atomic configurations, and single-photon traps

Cited by in corpus (4)

• Radiative properties of a linear chain of coupled qubits
• Atoms versus photons as carriers of quantum states
• The solitons redistribution in Bose-Einstein condensate in quasiperiodic optical lattice
• The characteristic polynomial of the next-nearest-neighbour qubit chain for single excitations