7 citations · 24 across the 15 of their papers we have counts for
16 papers
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…
Symmetries of the Generalized Yang--Baxter Equations
Pramod Padmanabhan, Somnath Maity, Akash Sinha +1
The generalized Yang-Baxter equations are multi-site versions of the standard Yang-Baxter equation. When spectral parameters are included, such equations are expected to lead to in…
Hidden Ising models from the generalized Yang-Baxter equation
Akash Sinha, Somnath Maity, Pramod Padmanabhan +1
We introduce a one dimensional spin Hamiltonian with multi-site interactions, but still local. The algebra of its Hamiltonian densities resembles that of the transver…
Noninvertible Kramers-Wannier duality symmetries for the discrete-time quantum Ising chain
Akash Sinha, Pramod Padmanabhan, Vladimir Korepin
Integrable trotterization} provides a method to evolve a continuous time integrable many-body system in discrete time, such that it retains its conserved quantities. Here we explic…
The Yang-Baxter integrability of the critical Ising chain
Akash Sinha, Tinu Justin, Pramod Padmanabhan +1
We show that the one dimensional, critical transverse field Ising model is Yang-Baxter integrable. This is done by constructing commuting transfer matrices built out of a -matri…
Non-invertible symmetry breaking in a frustration-free spin chain
Akash Sinha, Vivek Kumar Singh, Pramod Padmanabhan +2
A nearest-neighbor, frustration-free spin chain can be constructed {\it via} projectors of various ranks á la Bravyi-Gosset. We show that in the rank 1 case this syst…
First integrals of some two-dimensional integrable Hamiltonian systems
Aritra Ghosh, Akash Sinha, Bijan Bagchi
In this paper, we discuss some results on integrable Hamiltonian systems with two degrees of freedom. We revisit the much-studied problem of the two-dimensional harmonic oscillator…
Pseudo-Hermitian extensions of the harmonic and isotonic oscillators
Aritra Ghosh, Akash Sinha
In this work, we describe certain pseudo-Hermitian extensions of the harmonic and isotonic oscillators, both of which are exactly-solvable models in quantum mechanics. By coupling…
Toffoli gates solve the tetrahedron equations
Akash Sinha, Pramod Padmanabhan, Vladimir Korepin
The circuit model of quantum computation can be interpreted as a scattering process. In particular, factorised scattering operators result in integrable quantum circuits that provi…
Exceptional points and quantum phase transition in a fermionic extension of the Swanson oscillator
Akash Sinha, Aritra Ghosh, Bijan Bagchi
Motivated by the structure of the Swanson oscillator which is a well-known example of a non-Hermitian quantum system consisting of a general representation of a quadratic Hamiltoni…
Disorder-free localisation in continuous-time quantum walks : Role of symmetries
A. P. Balachandran, Anjali Kundalpady, Pramod Padmanabhan +1
We investigate the phenomenon of disorder-free localisation in quantum systems with global permutation symmetry. We use permutation group theory to systematically construct permuta…
Dyck Paths and Topological Quantum Computation
Vivek Kumar Singh, Akash Sinha, Pramod Padmanabhan +1
The fusion basis of Fibonacci anyons supports unitary braid representations that can be utilized for universal quantum computation. We show a mapping between the fusion basis of th…
Jacobi last multiplier and two-dimensional superintegrable oscillators
Akash Sinha, Aritra Ghosh
In this paper, we examine the role of the Jacobi last multiplier in the context of two-dimensional oscillators. We first consider two-dimensional unit-mass oscillators admitting a…
Dynamical symmetries of the anisotropic oscillator
Akash Sinha, Aritra Ghosh, Bijan Bagchi
It is well known that the Hamiltonian of an -dimensional isotropic oscillator admits an symmetry, making the system maximally superintegrable. However, the dynamical sym…
Dynamical symmetries of supersymmetric oscillators
Akash Sinha, Aritra Ghosh, Bijan Bagchi
In this paper, we describe the dynamical symmetries of classical supersymmetric oscillators in one and two spatial (bosonic) dimensions. Our main ingredient is a generalized Poisso…
Edge states and anomalous SUSY in (2+1)-dimensional Maxwell Chern-Simons theory
Nirmalendu Acharyya, Akash Sinha
In a -dimensional Maxwell-Chern-Simons theory coupled with a fermion and a scalar, which has SUSY in absence of the boundary, the insertion of a spatial boun…