A periodic measurement protocol for quantum critical ground state

In this work, I present a periodic measurement protocol on one dimensional spin-1/2 system using variational uniform matrix product state representation of the quantum critical ground state. The measurement is carried out coupling a secondary ancillary chain to the critical ground state via unitary coupling and later the ancillary spins are measured projectively following a periodicity commensurate to the critical ground state. In the non-entangling limit of the unitary coupling the measurement operators act as local unitary operators which make smooth transitions of the Hamiltonian to equivalent Hamiltonians as varying the coupling strength. The resultant universality classes of phases which share the same entanglement and the correlation structure are studied numerically. Further, it is discussed the effect on critical correlation in the presence of entangling measurement operators. Especially, I present results pertaining to a one dimensional spin-1/2 system showing analogues phase transition to the deconfined quantum critical phase transition.