11 papers
A fractional critical problem in the halfspace with Neumann conditions
Azahara DelaTorre Pedraza, Serena Dipierro, Angela Pistoia +1
Given and , we construct nontrivial solutions of the problem \begin{equation*} \begin{cases} (-Δ)^s u=u^{2^*_s-1} &{\mbox{ in }}\mathbb{R}^n_+,\\ {\mathcal{N}}_s…
Perturbatively Stable Self-Correcting Classical Memory from Gauge Averaging
Ryan Thorngren
We show that the self-correcting memory in 3d Wegner gauge theory is stable to arbitrary small enough perturbations of the Hamiltonian. Our proof relies on a new method we dub ``ga…
Chiral Lattice Gauge Theories from Symmetry Disentanglers
Ryan Thorngren, John Preskill, Lukasz Fidkowski
We propose a Hamiltonian framework for constructing chiral gauge theories on the lattice based on symmetry disentanglers: constant-depth circuits of local unitaries that transform…
Translation symmetry-enforced long-range entanglement in mixed states
Ryan Thorngren, Lei Gioia, Carolyn Zhang
We show by a counting argument that even though translation symmetry admits symmetric short-range entangled (SRE) eigenstates, there are not enough such SRE eigenstates to span the…
Parameterized Families of Toric Code Phase: -duality family and higher-order anyon pumping
Shuhei Ohyama, Takamasa Ando, Ryan Thorngren
Within the toric-code phase, we study parameterized families of topologically ordered states. We construct - and -parameter families of local Hamiltonians and confirm their n…
The Smith Fiber Sequence and Invertible Field Theories
Arun Debray, Sanath K. Devalapurkar, Cameron Krulewski +3
Smith homomorphisms are maps between bordism groups that change both the dimension and the tangential structure. We give a completely general account of Smith homomorphisms, unifyi…