Chris Fechisin @CFechisin
PhD student @UMDphysics studying condensed matter theory and quantum info Roanoke, VA | College Park, MD Joined March 2021-
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Nice to make some progress on a basic topic in theoretical physics -- universal response of emergent Dirac fermions to crystal defects. Now published in @PhysRevX , with @ZoharKo , @CFechisin , Siwei Zhong. @JQInews @UMDPhysics
By studying how symmetries of lattice models map to symmetries of continuum theories that emerge at criticality, researchers show that the (2+1)D Dirac fermion exhibits a continuum of infrared fixed points at a particular applied magnetic flux. go.aps.org/46h8ACo
Now published in Quantum: ➡️ quantum-journal.org/papers/q-2025-…
[1/2] Our new work is out today on arXiv, studying mixed-state SPT order in steady states of Lindbladians. Unlike for pure states — where the SPT order of a Hamiltonian's ground states is robust to weak symmetric perturbations — we find in our model that arxiv.org/abs/2410.12900
Published today! journals.aps.org/prx/abstract/1…
My new work with @nat_tanti and @victorvalbert is out today on the arXiv! arxiv.org/abs/2312.09272 We study SPT order protected by *non-invertible* symmetry in a class of group-based cluster states, akin to the relationship between the toric code and quantum double. 🧵 1/6
[2/2] the mixed-state SPT order of a Lindbladian's steady states is 𝗻𝗼𝘁 robust to most symmetric perturbations of the Lindbladian, even if they're arbitrarily weak. Instead, the new steady states exhibit a type of SSB order intrinsic to mixed states.
[1/2] Our new work is out today on arXiv, studying mixed-state SPT order in steady states of Lindbladians. Unlike for pure states — where the SPT order of a Hamiltonian's ground states is robust to weak symmetric perturbations — we find in our model that arxiv.org/abs/2410.12900
@EricAspling @markwilde @kunalsharmaq I think this one is a good place to start. arxiv.org/abs/0909.4777 The tl;dr is that atoms in Rydberg states have very large electric dipoles which interact very strongly, generating interactions that can be switched on and off by populating and depopulating Rydberg states.
@markwilde @kunalsharmaq Maybe, one way would be to find a drive time where the array would be close to the Rydberg state for any photon number≠0. In this example, if we checked for a Rydberg excitation at Ωt=30, then it would approx. be a QND vacuum or not measurement for one mode of up to 3 photons.
Example model 1D system showing a beyond-group symmetry studied with ITensor DMRG. "Non-invertible symmetry-protected topological order in a group-based cluster state" Christopher Fechisin, Nathanan Tantivasadakarn, Victor V. Albert. arxiv.org/abs/2312.09272
You can find all of the nitty-gritty details in our preprint: arxiv.org/abs/2312.09272 6/6
We also show that these cluster states can be used for measurement-based quantum computing. To do so, we use a deep relationship between cluster states and Kramers-Wannier duality as well as the decomposition of certain non-abelian groups into a series of abelian groups. 5/6
I'm very excited to share recent results on preparing topological states by measurement. In our latest collaboration with Quantinuum, we unambiguously provide the first realization of non-Abelian topological order in their latest H2 quantum processor (which launches today!)
Sub-symmetry-protected topological states go.nature.com/41EaEQa
Symmetry makes life easier for physicists. New “higher form” symmetries are proving to be mathematically useful within quantum field theory. @KSHartnett reports: quantamagazine.org/a-new-kind-of-…
New in Quantum: Classifying phases protected by matrix product operator symmetries using matrix product states by José Garre-Rubio, Laurens Lootens, and András Molnár doi.org/10.22331/q-202…
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