30 citations · 230 across the 51 of their papers we have counts for
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When Is Kramers-Wannier Duality Invertible?
Akash Sinha, Pramod Padmanabhan, Vladimir Korepin
{\it Kramers-Wannier} duality of the quantum Ising chain is naturally realized as a noninvertible transformation on a finite periodic chain. Upon incorporating appropriate symmetry…
Novel quantum phases on graphs using abelian gauge theory
Pramod Padmanabhan, Fumihiko Sugino
Graphs are topological spaces that include broader objects than discretized manifolds, making them interesting playgrounds for the study of quantum phases not realized by symmetry…
Frustration-free Hamiltonian with Topological Order on Graphs
Pramod Padmanabhan, Jintae Kim, Jung Hoon Han
It is commonly believed that models defined on a closed one-dimensional manifold cannot give rise to topological order. Here we construct frustration-free Hamiltonians which posses…
Matrix Product Wave Function of the Ground State and Elementary Excitation in the Spin-1/2 Chain
Jintae Kim, Minsoo Kim, Pramod Padmanabhan +2
We present a variational matrix product state (vMPS) for the ground state of the spin-1/2 Heisenberg model. The MPS effectively organizes the various dimer configurations, in faith…
Generating domain walls between topologically ordered phases using quantum double models
Pramod Padmanabhan, Miguel Jorge Bernabé Ferreira, Paulo Teotonio-Sobrinho
Transitions between different topologically ordered phases have been studied by artificially creating boundaries between these gapped phases and thus studying their effects relatin…
Local realizations of anyon exchange symmetries without lattice dislocations
Miguel Jorge Bernabe Ferreira, Pramod Padmanabhan, Paulo Teotonio-Sobrinho
The global - exchange symmetry of the toric code is realized locally through an exactly solvable Hamiltonian on a two dimensional lattice which has no lattice dislocations an…
A Recipe for Constructing Frustration-Free Hamiltonians with Gauge and Matter Fields in One and Two Dimensions
Miguel Jorge Bernabé Ferreira, Juan Pablo Ibieta Jimenez, Pramod Padmanabhan +1
State sum constructions, such as Kuperberg's algorithm, give partition functions of physical systems, like lattice gauge theories, in various dimensions by associating local tensor…
Deformed quantum double realization of the toric code and beyond
Pramod Padmanabhan, Juan Pablo Ibieta Jimenez, Miguel Jorge Bernabé Ferreira +1
Quantum double models, such as the toric code, can be constructed from transfer matrices of lattice gauge theories with discrete gauge groups and parametrized by the center of the…
Non-Abelian Fusion Rules from an Abelian System
Pramod Padmanabhan, Paulo Teotonio-Sobrinho
We demonstrate the emergence of non-Abelian fusion rules for excitations of a two dimensional lattice model built out of Abelian degrees of freedom. It can be considered as an exte…
2D Quantum Double Models From a 3D Perspective
Miguel Jorge Bernabé Ferreira, Pramod Padmanabhan, Paulo Teotonio-Sobrinho
In this paper we look at 3D lattice models that are generalizations of the state sum model used to define the Kuperberg invariant of 3-manifolds. The partition function is a scalar…