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Magnetochiral eigenstate of the Heisenberg chain with spontaneous symmetry breaking

Tigran A. Sedrakyan, Junjun Pang, Chenan Wei, Baigeng Wang

Abstract

We propose a protocol to construct atypical high-energy eigenstates in quantum systems by using ground states of Hamiltonians deformed by conserved charges. For the spin-1/2 Heisenberg XXX chain we study a chiral Hamiltonian built from the scalar-chirality charge and total magnetization and solve it exactly by Bethe ansatz. Its ground state is a magnetized, current-carrying XXX eigenstate that breaks SU(2), time-reversal, and parity yet stays critical. This zero-entropy macrostate shows ballistic spin and chirality transport and admits realistic cold-atom and Rydberg platforms.

Magnetochiral eigenstate of the Heisenberg chain with spontaneous symmetry breaking

Abstract

We propose a protocol to construct atypical high-energy eigenstates in quantum systems by using ground states of Hamiltonians deformed by conserved charges. For the spin-1/2 Heisenberg XXX chain we study a chiral Hamiltonian built from the scalar-chirality charge and total magnetization and solve it exactly by Bethe ansatz. Its ground state is a magnetized, current-carrying XXX eigenstate that breaks SU(2), time-reversal, and parity yet stays critical. This zero-entropy macrostate shows ballistic spin and chirality transport and admits realistic cold-atom and Rydberg platforms.

Paper Structure

This paper contains 17 equations, 2 figures.

Figures (2)

  • Figure 1: Schematic representation of the Hamiltonian in Eq. \ref{['eq:2']} illustrating the interplay between the Zeeman term and the third conserved charge of the Heisenberg model, $Q_3$.
  • Figure 2: Magnetization and scalar chirality densities plotted from Eqs. (\ref{['eq:M']}), (\ref{['eq:chi']}) versus magnetic field, $h$. Both exponents near full saturation are $1/2$. Finite magnetization at $h=0$ indicates spontaneous breaking of the $SU(2)$ symmetry.