Mappings between fermions and qubits are valuable constructions in physics. To date only a handful exist. In addition to revealing dualities fermionic spin systems, such mappings indispensable any quantum simulation of physics on computers. The number required per mode, the locality mapped operators strongly impact cost simulations. We present novel fermion qubit mapping which outperforms all p...

I am privileged to be in this interesting place honoring Ettore Majorana. Of course I have had no personal contact with him — he disappeared before I appeared. However, it is surprising, that I did not encounter his name nor his achievements during my physics education. He is hardly mentioned in the usual textbooks, at least in the American ones. This is a great loss! To me it was a special los...

We propose a left-right model of quarks and leptons based on the gauge group SU(3)C ×SU(2)L×SU(2)R×U(1)B−L, where the scalar sector consists of only two doublets: (1,2,1,1) and (1,1,2,1). As a result, any fermion mass, whether it be Majorana or Dirac, must come from dimension-five operators. This allows us to have a common view of quark and lepton masses, including the smallness of Majorana neu...

A recursive computation of scattering amplitudes including Majorana fermions requires a consistent definition of the fermion flow, which is introduced by Denner et al. in a diagrammatic setting. A systematic treatment in the off-shell current formalism is proposed, which involves explicit reversal of fermion currents. Recursive algorithms [2, 3] have proved themselves superior to diagrammatic m...

we review various ways to express the partition function of the single-band hubard model as a path integral. the emphasis is made on the derivation of the action in the integrand of the path integral and the results obtained from this approach are discussed only briefly.   since the single-band hubbard model is a pure fermionic model on the lattice and its hamiltonian is a polynomial in creatio...

Using the spin-hole coherent state representation, and taking the long range antiferromagnetic Néel order as the background of the spin degree part, we have studied the magnetic behavior of the t-J model in the usual slave boson and slave fermion treatment of the single occupation constraint, and shown that we can qualitatively explain the anomalous magnetic and transport properties of the norm...

I am privileged to be in this interesting place honoring Ettore Majorana. Of course I have had no personal contact with him — he disappeared before I appeared. However, it is surprising, that I did not encounter his name nor his achievements during my physics education. He is hardly mentioned in the usual textbooks, at least in the American ones. This is a great loss! To me it was a special los...

We gauge the fermion parity symmetry of Kitaev chain. While bulk model becomes an Ising chain gauge-invariant spins in a tilted field, near boundaries global survives gauging, leading to local Majorana operators. In absence vortices, Higgs phase exhibits fermionic symmetry-protected topological (SPT) order distinct from Moreover, deconfined can be stable even presence vortices. also undertake c...