5 papers
Energetics of the PH-Pfaffian state and the 5/2-fractional quantum Hall effect
Edward H. Rezayi, Kiryl Pakrouski, F. D. M. Haldane
We present a method for the exact construction of the fully particle-hole symmetric PH-Pfaffian ground state and its charged excitations on a sphere. We adopt the Moore-Read state,…
Many Body Scars as a Group Invariant Sector of Hilbert Space
Kiryl Pakrouski, Preethi N. Pallegar, Fedor K. Popov +1
We present a class of Hamiltonians for which a sector of the Hilbert space invariant under a Lie group , which is not a symmetry of , possesses the essential properties o…
Hagedorn Temperature in Large Majorana Quantum Mechanics
Gabriel Gaitan, Igor R. Klebanov, Kiryl Pakrouski +2
We discuss two types of quantum mechanical models that couple large numbers of Majorana fermions and have orthogonal symmetry groups. In models of vector type, only one of the symm…
Automatic design of Hamiltonians
Kiryl Pakrouski
We formulate an optimization problem of Hamiltonian design based on the variational principle. Given a variational ansatz for a Hamiltonian we construct a loss function to be minim…
Spectrum of Majorana Quantum Mechanics with Symmetry
Kiryl Pakrouski, Igor R. Klebanov, Fedor Popov +1
We study the quantum mechanics of 3-index Majorana fermions governed by a quartic Hamiltonian with symmetry. Similarly to the Sachdev-Ye-Kitaev model, this tenso…