



@article {3493,
	title = {Topology and entanglement of molecular phase space},
	year = {2024},
	month = {3/7/2024},
	abstract = {<p>We formulate a quantum phase space for molecular rotational and nuclear-spin states. Taking in molecular geometry and nuclear-spin data, our framework yields admissible position and momentum states, inter-convertible via a generalized Fourier transform. We classify molecules into three types -- asymmetric, rotationally symmetric, and perrotationally symmetric -- with the last type having no macroscopic analogue due to nuclear-spin statistics constraints. We identify two features in perrotationally symmetric state spaces that are Hamiltonian-independent and induced solely by symmetry and spin statistics. First, many molecular species are intrinsically rotation-spin entangled in a way that cannot be broken without transitioning to another species or breaking symmetry. Second, each molecular position state houses an internal pseudo-spin or \&quot;fiber\&quot; degree of freedom, and the fiber\&$\#$39;s Berry phase or matrix after adiabatic changes in position yields naturally robust operations, akin to braiding anyonic quasiparticles or realizing fault-tolerant quantum gates. We outline scenarios where these features can be experimentally probed.</p>},
	url = {https://arxiv.org/abs/2403.04572},
	author = {Victor V. Albert and Eric Kubischta and Mikhail Lemeshko and Lee R. Liu}
}
@article {1186,
	title = {Controllable quantum spin glasses with magnetic impurities embedded in  quantum solids
},
	journal = {Physical Review B},
	volume = {88},
	year = {2013},
	month = {2013/7/24},
	abstract = {  Magnetic impurities embedded in inert solids can exhibit long coherence times
and interact with one another via their intrinsic anisotropic dipolar
interaction. We argue that, as a consequence of these properties, disordered
ensembles of magnetic impurities provide an effective platform for realizing a
controllable, tunable version of the dipolar quantum spin glass seen in
LiHo$_x$Y$_{1-x}$F$_4$. Specifically, we propose and analyze a system composed
of dysprosium atoms embedded in solid helium. We describe the phase diagram of
the system and discuss the realizability and detectability of the quantum spin
glass and antiglass phases.
},
	doi = {10.1103/PhysRevB.88.014426},
	url = {http://arxiv.org/abs/1307.1130v1},
	author = {Mikhail Lemeshko and Norman Y. Yao and Alexey V. Gorshkov and Hendrik Weimer and Steven D. Bennett and Takamasa Momose and Sarang Gopalakrishnan}
}
