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Chinese Physics Letters

Resonant Tunneling States of a Pairing Ladder with Random Dimer Chains

Dong-Sheng Hu, Yanling Zhang, Xiao‐gang Yin, Chen-Ping Zhu, Yong-Mei Zhang

Published Feb 1, 2012• 1 citation
Publisher

Abstract

We propose three models of pairing ladders, in which two types of atoms, A and B, exist, and the corresponding atoms in different chains are pairng, i.e. if atom A is in a site of one chain, the atom in the corresponding site of another chain should be atom B. It is found that there are three resonant states in the ladder when the two types of atoms are both random dimers (RD) in the same chain. No extended state exists in the ladder when only one type of atom is RD distributed or two types of atoms both are random distributed in the same chain.

DOI
10.1088/0256-307x/29/2/027101

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We propose three models of pairing ladders, in which two types of atoms, A and B, exist, and the corresponding atoms in different chains are pairng, i.e. if atom A is in a site of one chain, the atom in the corresponding site of another chain should be atom B. It is found that there are three resonant states in the ladder when the two types of atoms are both random dimers (RD) in the same chain. No extended state exists in the ladder when only one type of atom is RD distributed or two types of atoms both are random distributed in the same chain.
The Heisenberg–Ising spin ladder is one of the few short-range models showing confinement of elementary excitations without the need of an external field, neither transverse nor longitudinal. This feature makes the model suitable for an experimental realization with ultracold atoms. In this paper, we combine analytic and numerical techniques to precisely characterize its spectrum in the regime of Hamiltonian parameters showing confinement. We find two kinds of particles, which we dub intrachain and interchain mesons, that correspond to bound states of kinks within the same chain or between different ones, respectively. The ultimate physical reasons leading to the existence of two families of mesons is a residual double degeneracy of the ground state: the two types of mesons interpolate either between the same vacuum (intrachain) or between the two different ones (interchain). While the intrachain mesons can also be qualitatively assessed through an effective mean field description and were previously known, the interchain ones are new and they represent general features of spin ladders with confinement.
Abstract In this contribution we consider an advantageous building block with potential for various quantum applications: a device based on coupled spins capable of generating and sharing out an entangled pair of qubits. Our model device is a dimerized spin chain with three weakly coupled embedded sites (defects). Three different entangling protocols were proposed for this chain in [1] and [2], one producing a Cluster state building block and two generating a Bell state, depending on the initial state injection. Here we compare the robustness of such protocols as quantum entangling gates against different types of fabrication (static energy fluctuations) and operation (timing injection delays) errors.
Abstract The Heisenberg–Ising spin ladder is one of the few short-range models showing confinement of elementary excitations without the need of an external field, neither transverse nor longitudinal. This feature makes the model suitable for an experimental realization with ultracold atoms. In this paper, we combine analytic and numerical techniques to precisely characterize its spectrum in the regime of Hamiltonian parameters showing confinement. We find two kinds of particles, which we dub intrachain and interchain mesons, that correspond to bound states of kinks within the same chain or between different ones, respectively. The ultimate physical reasons leading to the existence of two families of mesons is a residual double degeneracy of the ground state: the two types of mesons interpolate either between the same vacuum (intrachain) or between the two different ones (interchain). While the intrachain mesons can also be qualitatively assessed through an effective mean field description and were previously known, the interchain ones are new and they represent general features of spin ladders with confinement.
Motivated by resonant x-ray scattering experiments in cuprate ladder materials showing charge-order modulation of period $\ensuremath{\lambda}=3$ and 5 at specific hole densities, we investigate models involving the electronic $t\text{\ensuremath{-}}J$ ladders and bosonic chains coupled via screened Coulomb repulsion. Extensive density-matrix renormalization-group calculations applied to the ladders/chains supplemented by a self-consistent mean-field treatment of the interladder/chain coupling provide quantitative estimates of the charge order for $\ensuremath{\lambda}=3$, 4, and 5. As previously proposed, such patterns correspond to the emergence of pair density waves which stem from the strong electronic correlations. We comment on the existence of a $\ensuremath{\lambda}=4$ modulation not seen so far in experiment.
We theoretically investigate resonance fluorescence of a ladder- and a triangular-type three-level atomic system in the full quantization regime. By solving Heisenberg’s quantum kinetic equations of motion of an electron interacting with photons and two coherent laser fields, we obtain the firstorder electric field correlation function, which corresponds to photoluminescence spectrum. When the single electrons in both systems are resonantly excited by two strong cw-laser fields, in contrast to the ladder-type atomic systems emitting mainly incoherent photons, the triangular-type system shows that continuous coherent photons can be selectively generated from three optical transitions by trapping electronic population inversions and manipulated by changing the transition rates.
We clarify an interpretation of transmittance signals in ladder-type atomic systems by discriminating the contributions of one-photon resonance, two-photon resonance, and a mixed term of both in the calculated spectra for these ladder-type multilevel atoms. When the two-photon-resonance effect is distinguished from an accurate spectrum calculated by modeling ladder-type electromagnetically-induced transparency for the $5{S}_{1/2}\ensuremath{-}5{P}_{3/2}\ensuremath{-}5{D}_{5/2}$ transitions of 87{}^{87}87Rb atoms, we find that the transmittance signals for the $5{D}_{5/2}({F}^{\ensuremath{'}\ensuremath{'}}=2,3)$ states are mainly composed of the mixed term related not to pure-two-photon atomic coherence but to the optical-pumping effect whereas the transmittance signal for the $5{D}_{5/2}({F}^{\ensuremath{'}\ensuremath{'}}=4)$ state originates from both the pure-two-photon-resonance term and the mixed term.