PhD student @UMDphysics studying condensed matter theory and quantum info
Roanoke, VA | College Park, MD
Joined March 2021
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Should be available on arXiv this evening!
What happens when fermions jump in a crystal with defects? With Chris, @MBarkeshli , and Siwei, we have combined ideas from QFT and Condensed Matter to answer the question and checked it extensively in numerics.
Surely it has the most beautiful figures in any of my papers.
Chris Fechisin retweeted
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
ALT A graph of the QWZ model with a clean lattice showing the azimuthal current and energy density, with δα on the x axis, r^3ε on the left y axis colored red, and rJ^θ on the right y axis colored blue. The plot shows observables at the m = −1 critical point on a lattice without crystalline defects, scaling by r and r^3 respectively in order to extract the universal amplitude data. Each curve gives the values of the observables at a particular spatial position in the bulk of the lattice. The shading of the curve corresponds to the distance of the spatial point from the flux insertion center, with lighter colors closer.
Now published in Quantum:
➡️ quantum-journal.org/papers/q…
[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
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
[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
Chris Fechisin retweeted
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
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
You can find all of the nitty-gritty details in our preprint: arxiv.org/abs/2312.09272
6/6
Chris Fechisin retweeted
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!)
Chris Fechisin retweeted
Sub-symmetry-protected topological states
go.nature.com/41EaEQa
Chris Fechisin retweeted
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-kin…
Chris Fechisin retweeted
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-2023-02-2…
Zoom and enhance #qip2023 – at Ghent, Belgium
