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We adapt a variational procedure to calculate ground state properties of the Holstein model in the adiabatic limit. At strong coupling, this adaption leads to rapid convergence of results. The intermediate coupling regime is further handled…

Strongly Correlated Electrons · Physics 2010-03-10 Zhou Li , D. Baillie , C. Blois , F. Marsiglio

An ultracold gas of heteronuclear alkali dimer molecules with hyperfine structure loaded into a one-dimensional optical lattice is investigated. The \emph{Hyperfine Molecular Hubbard Hamiltonian} (HMHH), an effective low-energy lattice…

Quantum Gases · Physics 2015-03-13 M. L. Wall , L. D. Carr

The normal-state energy spectrum of the two-dimensional $t$-$J$ model in a homogeneous perpendicular magnetic field is investigated. The density of states at the Fermi level as a function of the inverse magnetic field $\frac{1}{B}$ reveals…

Strongly Correlated Electrons · Physics 2013-11-05 A. Sherman

Quantum state preparation for trapped-ion qubits often relies on high-quality circularly-polarised light, which may be difficult to achieve with chip-based integrated optics technology. We propose and implement a hybrid optical/microwave…

Quantum Physics · Physics 2025-06-02 A. D. Leu , M. C. Smith , M. F. Gely , D. M. Lucas

Advanced techniques for manipulation of internal states, standard in atomic physics, are demonstrated for a charged molecular species for the first time. We address individual hyperfine states of ro-vibrational levels of a diatomic ion by…

Atomic Physics · Physics 2015-05-08 U. Bressel , A. Borodin , J. Shen , M. Hansen , I. Ernsting , S. Schiller

Low-frequency magnetic fields carry vital information for neuroscience, navigation, and Earth science. However, they are generally weak, making it challenging to measure them with compact, room-temperature magnetometers. To overcome this…

We present a coupled-channel analysis of the $ J^P = 3/2^+ \Delta $-baryon spectrum, based in the framework of Hamiltonian Effective Field Theory (HEFT). We construct a Hamiltonian which mixes quark model-like single-particle states and…

High Energy Physics - Phenomenology · Physics 2024-06-06 Liam Hockley , Curtis Abell , Derek Leinweber , Anthony Thomas

Gravitational waves (GWs) can resonate with magnetic fields through the Gertsenshtein-Zeldovich effect, producing electromagnetic signals at the same frequency. In pulsar magnetospheres, this conversion may yield a faint radio-band signal…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Wei Hong , Peng He , Tong-Jie Zhang , Shi-Yu Li , Pei Wang

High-resolution spectroscopy on the $A^2\Pi$ - $X^2\Sigma^+$ electronic system of $^{138}$Ba$^{19}$F is performed using a cold molecular beam produced by a buffer gas source. The hyperfine structure in both $X^2\Sigma^+$ ground and $A^2\Pi$…

Sub-Doppler, saturation dip, spectra of lines in the $v_1 + v_3$, $v_1 + 2v_4$ and $v_3 + 2v_4$ bands of $^{14}$NH$_3$ have been measured by frequency comb-referenced diode laser absorption spectroscopy. The observed spectral line widths…

Chemical Physics · Physics 2016-11-03 Sylvestre Twagirayezu , Gregory E. Hall , Trevor J. Sears

The preparation of the ground state of a Hamiltonian $H$ with a large spectral radius has applications in many areas such as electronic structure theory and quantum field theory. Given an initial state with a constant overlap with the…

Quantum Physics · Physics 2024-06-05 Yulong Dong , Lin Lin

We present precision measurements with MHz uncertainty of the energy gap between asymptotic and well bound levels in the electronic ground state X $^1\Sigma_{\mathrm{g}}^+$ of the $^{39}$K$_2$ molecule. The molecules are prepared in a…

We examine magnon and orbiton behavior in localized O$_2$ anti-bonding molecular $\pi^*$ orbitals using an effective Kugel-Khomskii Hamiltonian derived from a two band Hubbard model with hopping parameters taken from {\em ab initio} density…

Strongly Correlated Electrons · Physics 2013-05-29 E. R. Ylvisaker , R. R. P. Singh , W. E. Pickett

Under suitable assumptions, the quantum phase estimation (QPE) algorithm is able to achieve Heisenberg-limited precision scaling in estimating the ground state energy. However, QPE requires a large number of ancilla qubits and large circuit…

Quantum Physics · Physics 2022-02-04 Lin Lin , Yu Tong

We consider a slow-fast Hamiltonian system with one fast angular variable (a fast phase) whose frequency vanishes on some surface in the space of slow variables (a resonant surface). Systems of such form appear in the study of dynamics of…

Dynamical Systems · Mathematics 2022-12-29 Yuyang Gao , Anatoly Neishtadt , Alexey Okunev

We investigate the hyperfine energy levels and Zeeman splittings for homonuclear alkali-metal dimers in low-lying rotational and vibrational states, which are important for experiments designed to produce quantum gases of deeply bound…

Atomic Physics · Physics 2010-03-09 J. Aldegunde , Jeremy M. Hutson

High-resolution Zeeman spectroscopy of electronic-nuclear hyperfine levels of ${^5\mathrm{I}_8}\rightarrow{^5\mathrm{I}_7}$ transitions in Ho$^{3+}$:Y$_2$SiO$_5$ is reported. Crystal-field parameters determined for the two $C_1$ symmetry…

Positronium is an ideal system for the research of the QED, especially for the QED in bound state. The discrepancy of 3.9\sigma is found recently between the measured HFS values and the QED prediction ($O(\alpha^3)$). It might be due to the…

High Energy Physics - Experiment · Physics 2015-03-13 S. Asai , T. Suehara , T. Yamazaki , G. Akimoto , A. Miyazaki , T. Namba , T. Kobayashi , H. Saito , T. Idehara , I. Ogawa , Y. Urishizaki , S. Sabchevski

Quantum sensors, qubits sensitive to external fields, have become powerful detectors for various small acoustic and electromagnetic fields. A major key to their success have been dynamical decoupling protocols which enhance sensitivity to…

Quantum Physics · Physics 2021-06-24 Timo Joas , Andreas M. Waeber , Georg Braunbeck , Friedemann Reinhard

We present a lattice QCD spectroscopy study in the isospin singlet, strangeness $-2$ sectors relevant for the conjectured $H$ dibaryon. We employ both local and bilocal interpolating operators to isolate the ground state in the rest frame…

High Energy Physics - Lattice · Physics 2019-04-17 A. Francis , J. R. Green , P. M. Junnarkar , Ch. Miao , T. D. Rae , H. Wittig