Programmable XY-type couplings through parallel spin-dependent forces on the same trapped ion motional modes

• URL: http://arxiv.org/abs/2307.04922v2
• Date: Wed, 22 May 2024 17:17:38 GMT
• Title: Programmable XY-type couplings through parallel spin-dependent forces on the same trapped ion motional modes
• Authors: Nikhil Kotibhaskar, Chung-You Shih, Sainath Motlakunta, Anthony Vogliano, Lewis Hahn, Yu-Ting Chen, Rajibul Islam,
• Abstract summary: Hamiltonians on trapped ion spins with independent control over the $J_ijx$ and $J_ijy$ terms. We analytically calculate the region of validity of this scheme, and provide numerical and experimental validation with $171rmYb+;$ ions. Our approach extends the capabilities of existing trapped ion quantum simulators to access a large class of spin Hamiltonians relevant for exploring exotic quantum phases such as superfluidity and spin liquids.
• Score: 2.139378664185237
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We propose and experimentally demonstrate an analog scheme for generating XY-type ($J_{ij}^x \sigma_x^i \sigma_x^j \;$ + $J_{ij}^y \sigma_y^i \sigma_y^j \;$) Hamiltonians on trapped ion spins with independent control over the $J_{ij}^x$ and $J_{ij}^y$ terms. The Ising-type interactions $\sigma_x^i \sigma_x^j \;$ and $\sigma_y^i \sigma_y^j \;$ are simultaneously generated by employing two spin-dependent forces operating in parallel on the same set of normal modes. We analytically calculate the region of validity of this scheme, and provide numerical and experimental validation with $^{171}\rm{Yb}^+\;$ ions. This scheme inherits the programmability and scalability of the Ising-type interactions with trapped ions that have been explored in numerous quantum simulation experiments. Our approach extends the capabilities of existing trapped ion quantum simulators to access a large class of spin Hamiltonians relevant for exploring exotic quantum phases such as superfluidity and spin liquids.

Related papers

• Dynamics of spin helices in the diluted one-dimensional $XX$ model [0.0]
  Motivated by discrepancies between recent cold atom experiments and the associated theory, we explore the effect of immobile holes on the quantum dynamics of $x$-$z$ spin helices. We calculate the exact spin dynamics by mapping onto a system of non-interacting fermions, averaging over the distribution of holes.
  arXiv  Detail & Related papers  (2024-04-26T17:36:27Z)
• Spin Current Density Functional Theory of the Quantum Spin-Hall Phase [59.50307752165016]
  We apply the spin current density functional theory to the quantum spin-Hall phase. We show that the explicit account of spin currents in the electron-electron potential of the SCDFT is key to the appearance of a Dirac cone.
  arXiv  Detail & Related papers  (2022-08-29T20:46:26Z)
• Linear Response for pseudo-Hermitian Hamiltonian Systems: Application to PT-Symmetric Qubits [0.0]
  We develop the linear response theory formulation suitable for application to various pHH systems. We apply our results to two textitPT-symmetric non-Hermitian quantum systems.
  arXiv  Detail & Related papers  (2022-06-18T10:05:30Z)
• Multipartite entangled states in dipolar quantum simulators [0.0]
  We show that the native Hamiltonian dynamics of state-of-the-art quantum simulation platforms can act as a robust source of multipartite entanglement. Our results suggest that the native Hamiltonian dynamics of state-of-the-art quantum simulation platforms, such as Rydberg-atom arrays, can act as a robust source of multipartite entanglement.
  arXiv  Detail & Related papers  (2022-05-08T16:23:48Z)
• Engineering infinite-range SU($n$) interactions with spin-orbit-coupled fermions in an optical lattice [0.0]
  We study multilevel fermions in an optical lattice described by the Hubbard model with on site SU($n$)-symmetric interactions. Raman pulses that address internal spin states modify the atomic dispersion relation and induce spin-orbit coupling. Our predictions are readily testable in current experiments with ultracold alkaline-earth(-like) atoms.
  arXiv  Detail & Related papers  (2021-09-22T20:13:20Z)
• Visualizing spinon Fermi surfaces with time-dependent spectroscopy [62.997667081978825]
  We propose applying time-dependent photo-emission spectroscopy, an established tool in solid state systems, in cold atom quantum simulators. We show in exact diagonalization simulations of the one-dimensional $t-J$ model that the spinons start to populate previously unoccupied states in an effective band structure. The dependence of the spectral function on the time after the pump pulse reveals collective interactions among spinons.
  arXiv  Detail & Related papers  (2021-05-27T18:00:02Z)
• $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited vibrational state [77.34726150561087]
  Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets. We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
  arXiv  Detail & Related papers  (2020-12-15T17:08:33Z)
• Resilience of the superradiant phase against $\mathbf {A^2}$ effects in the quantum Rabi dimer [0.0]
  We study the quantum criticality of a two-site model combining quantum Rabi models with hopping interaction. We find that the model allows the appearance of a superradiant quantum phase transition (QPT) even in the presence of strong $mathbfA2$ terms. Our work provides a way to the study of phase transitions in presence of the $mathbfA2$ terms and offers the prospect of investigating quantum-criticality physics and quantum devices in many-body systems.
  arXiv  Detail & Related papers  (2020-03-03T04:14:13Z)
• Quantum Algorithms for Simulating the Lattice Schwinger Model [63.18141027763459]
  We give scalable, explicit digital quantum algorithms to simulate the lattice Schwinger model in both NISQ and fault-tolerant settings. In lattice units, we find a Schwinger model on $N/2$ physical sites with coupling constant $x-1/2$ and electric field cutoff $x-1/2Lambda$. We estimate observables which we cost in both the NISQ and fault-tolerant settings by assuming a simple target observable---the mean pair density.
  arXiv  Detail & Related papers  (2020-02-25T19:18:36Z)
• Quantum Simulation of 2D Quantum Chemistry in Optical Lattices [59.89454513692418]
  We propose an analog simulator for discrete 2D quantum chemistry models based on cold atoms in optical lattices. We first analyze how to simulate simple models, like the discrete versions of H and H$+$, using a single fermionic atom. We then show that a single bosonic atom can mediate an effective Coulomb repulsion between two fermions, leading to the analog of molecular Hydrogen in two dimensions.
  arXiv  Detail & Related papers  (2020-02-21T16:00:36Z)
• Anisotropy-mediated reentrant localization [62.997667081978825]
  We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems. We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
  arXiv  Detail & Related papers  (2020-01-31T19:00:01Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.