002919381 001__ 2919381
002919381 005__ 20241212043257.0
002919381 0248_ $$aoai:cds.cern.ch:2919381$$pcerncds:FULLTEXT$$pcerncds:CERN:FULLTEXT$$pcerncds:CERN
002919381 037__ $$9arXiv$$aarXiv:2410.06655$$ccond-mat.quant-gas
002919381 035__ $$9arXiv$$aoai:arXiv.org:2410.06655
002919381 035__ $$9Inspire$$aoai:inspirehep.net:2838542$$d2024-12-11T20:06:42Z$$h2024-12-12T03:00:05Z$$mmarcxml$$ttrue$$uhttps://inspirehep.net/api/oai2d
002919381 035__ $$9Inspire$$a2838542
002919381 041__ $$aeng
002919381 100__ $$aBiswas, Sourav$$uDonostia Intl. Phys. Ctr., San Sebastian$$vDIPC - Donostia International Physics Center, Paseo Manuel de Lardizábal 4, 20018 San Sebastián, Spain
002919381 245__ $$9arXiv$$aRing-exchange physics in a chain of three-level ions
002919381 269__ $$c2024-10-09
002919381 300__ $$a7 p
002919381 500__ $$9arXiv$$a7 pages, 6 figures
002919381 520__ $$9arXiv$$aIn the presence of ring exchange interactions, bosons in a ladder-like lattice may form the bosonic analogon of a correlated metal, known as the d-wave Bose liquid (DBL). In this Letter, we show that a chain of trapped ions with three internal levels can be used to mimic a ladder-like system constrained to a maximum occupation of one boson per rung. The setup enables tunable ring exchange interactions, giving rise to a transition between a polarized regime with all bosons confined to one leg and the DBL regime. The latter state is characterized by a splitting of the peak in the momentum distribution and an oscillating pair correlation function.
002919381 541__ $$aarXiv$$chepcrawl$$d2024-10-11T04:07:19.219486$$e8263445
002919381 540__ $$3preprint$$aarXiv nonexclusive-distrib 1.0$$uhttp://arxiv.org/licenses/nonexclusive-distrib/1.0/
002919381 65017 $$2arXiv$$aquant-ph
002919381 65017 $$2SzGeCERN$$aGeneral Theoretical Physics
002919381 65017 $$2arXiv$$acond-mat.str-el
002919381 65017 $$2arXiv$$acond-mat.quant-gas
002919381 690C_ $$aCERN
002919381 690C_ $$aPREPRINT
002919381 700__ $$aRico, E.$$uDonostia Intl. Phys. Ctr., San Sebastian$$uBasque U., Bilbao$$uCERN$$vDIPC - Donostia International Physics Center, Paseo Manuel de Lardizábal 4, 20018 San Sebastián, Spain$$vEHU Quantum Center and Department of Physical Chemistry, University of the Basque Country UPV/EHU, P.O. Box 644, 48080 Bilbao, Spain$$vEuropean Organization for Nuclear Research (CERN), Geneva 1211, Switzerland$$vIKERBASQUE, Basque Foundation for Science, Plaza Euskadi 5, 48009 Bilbao, Spain
002919381 700__ $$aGrass, Tobias$$uDonostia Intl. Phys. Ctr., San Sebastian$$uBasque U., Bilbao$$vDIPC - Donostia International Physics Center, Paseo Manuel de Lardizábal 4, 20018 San Sebastián, Spain$$vIKERBASQUE, Basque Foundation for Science, Plaza Euskadi 5, 48009 Bilbao, Spain
002919381 8564_ $$82695108$$s906144$$uhttp://cds.cern.ch/record/2919381/files/ion_ladder_scheme.png$$y00000 (a) Mapping between the two-leg ladder and chain of three-level ions. (b,c) Implementation of intra-leg hopping and ring exchange via Raman transitions following the level diagram of $^{171}{\rm Yb}^+$ shown in (b). As illustrated in (c), the pairs drawn in red couple to the longitudinal phonon direction, and are equipped with two beat notes, tuned to the $\tau_{-0}$ transition and the $\tau_{0+}$ transition, with different detunings $\delta_{l,-}$ and $\delta_{l-,+}$ from the longitudinal center-of-mass mode at frequency $\omega_{{\rm com},l}$, as indicated in the box. The pairs drawn in red couple to transverse phonon modes, and are equipped with one beat-note tuned to the $\tau_{-+}$ transition with a detuning $\delta_t$ from the transerved center-of-mass mode at frequency $\omega_{{\rm com},t}$. Both couplings operate on a single side-band.
002919381 8564_ $$82695109$$s42767$$uhttp://cds.cern.ch/record/2919381/files/Ens_t12K12_ED_L16_E0Gap.png$$y00001 Eigen-energies, computed using ED (for $L=16$), are shown as a function of $K$. (a) depicts the lowest energies for various polarization sectors. (b) shows the energy difference between different lowest-lying energies in $\mathcal{P}$=0.
002919381 8564_ $$82695110$$s1426125$$uhttp://cds.cern.ch/record/2919381/files/2410.06655.pdf$$yFulltext
002919381 8564_ $$82695111$$s9080$$uhttp://cds.cern.ch/record/2919381/files/P2.png$$y00004 The $P_2 (\Delta x)$ for parallel diagonals: $Dia-Para$ ($\gamma =1, \eta=2 $ ) and perpendicular diagonals: $Dia-Perp$ ($\gamma =2, \eta=1 $ ) are opposite in sign and oscillate with a period $1/n_f$. In (a) we show the convention used for calculating the pair correlation and in (b) results for different fillings are depicted. We observe changing $n_f$ changes the modulation in $P_2$ which is consistent with the shifting of peaks in FIG.~\eqref{fig:DBL}.
002919381 8564_ $$82695112$$s9949$$uhttp://cds.cern.ch/record/2919381/files/SFq_DMRG_t12K12_R0.2K0.3.png$$y00005 $\mathcal{S}_z(q)$ computed using DMRG. At $K=0.3$, a comparison between $L=16,48$ shows the persistence of sharp peaks with $\Delta q_L$ wave vector. In the inset, we see data for $L=48$ at $K=0.6$. The smoothness of $\mathcal{S}_z$ suggests an absence of any true long-range order. This is a characteristic of the DBL phase.
002919381 8564_ $$82695113$$s4984$$uhttp://cds.cern.ch/record/2919381/files/Nq.png$$y00003 $n(q)$ is plotted for $K=0.6$, using DMRG for $L=60$. The absence of zero momenta peak and the presence of peaks at $k_s=\pi n_f$ are also consistent with the known features of such a phase. We see that changing $n_f $ from $1/4$ to $1/3$ shifts the peaks.
002919381 8564_ $$82695114$$s11231$$uhttp://cds.cern.ch/record/2919381/files/Transition_ED_DMRG_Rf0.2_t12K12.png$$y00002 (a) The correlation $C_{zz}(1, L)$ is plotted as a function of $K$ using ED ($L=16$) at ${\cal P}=0$. The system passes from an ordered phase to a phase without long-range order. This transition persists with varying $L$, as observed from DMRG (in the insets). (b) The correlator $C_{zz}(1,j)$ behaves differently in these two phases (i.e. $K<K_c$ and $K>K_c$).
002919381 960__ $$a11
002919381 980__ $$aPREPRINT