Michael L. Wall

Publications (2)0 Total impact

• Article: Simulating quantum magnets with symmetric top molecules

  Michael L Wall, Kenji Maeda, Lincoln D Carr
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  ABSTRACT: We establish a correspondence between the electric dipole matrix elements of a polyatomic symmetric top molecule in a precessing state and the magnetic dipole matrix elements of a magnetic dipole associated with an elemental spin $F$. It is shown that this correspondence makes it possible to perform quantum simulation of the single-particle spectrum and the dipole-dipole interactions of magnetic dipoles in a static external magnetic field $\bf{B}$ with symmetric top molecules subject to a static external electric field $\bf{E}_{\mathrm{DC}}$. We further show that no such correspondence exists for $^1\Sigma$ molecules in static fields, such as the alkali metal dimers. The effective spin angular momentum of the simulated magnetic dipole corresponds to the rotational angular momentum of the symmetric top molecule, and so quantum simulation of arbitrarily large integer spins is possible. Further, taking the molecule CH$_3$F as an example, we show that the characteristic dipole-dipole interaction energies of the simulated magnetic dipole are a factor of 620, 600, and 310 larger than for the highly magnetic atoms Chromium, Erbium, and Dysprosium, respectively. We present several applications of our correspondence for many-body physics, including long-range and anisotropic spin models with arbitrary integer spin $S$ using symmetric top molecules in optical lattices, quantum simulation of molecular magnets, and spontaneous demagnetization of Bose-Einstein condensates due to dipole-dipole interactions. Our results are expected to be relevant as cold symmetric top molecules reach quantum degeneracy through Stark deceleration and opto-electrical cooling.
  05/2013;
• Source

  Available from: Lincoln D Carr

  Article: Finite Temperature Matrix Product State Algorithms and Applications

  Michael L. Wall, Lincoln D. Carr
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  ABSTRACT: We review the basic theory of matrix product states (MPS) as a numerical variational ansatz for time evolution, and present two methods to simulate finite temperature systems with MPS: the ancilla method and the minimally entangled typical thermal state method. A sample calculation with the Bose-Hubbard model is provided. Comment: 13 pages, 4 figures
  08/2010;