Abstract
We identify quantum many-body scars in the transverse field quantum Ising model on a ladder. We make explicit how the corresponding (mid spectrum, low entanglement) many-body eigenstates can be approximated by injecting quasi-particle excitations into an exact, zero-energy eigenstate, which is of valence bond solid type. Next, we present a systematic construction of product states characterized, in the limit of a weak transverse field, by a sharply peaked local density of states. We describe how the construction of these "peak states" generalizes to arbitrary dimension and show that on the ladder their number scales with system size as the square of the golden ratio.
Highlights
Understanding of nonequilibrium dynamics and thermalization is at the forefront of research on quantum many-body systems
These developments led to the formulation of the eigenstate thermalization hypothesis (ETH) [1,2,3], predicting fast thermalization following a quench from a generic many-body state
A recent observation of nonthermalizing behavior in a chain of Rydberg atoms [13] described by a so-called PXP Hamiltonian [14], has been interpreted in terms of quantum many-body scars (QMBS) [15,16]
Summary
Bart van Voorden ,* Jirí Minár ,† and Kareljan Schoutens ‡ Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, the Netherlands (Received 30 March 2020; revised manuscript received 29 May 2020; accepted 29 May 2020; published 25 June 2020). We identify quantum many-body scars in the transverse field quantum Ising model on a ladder. We make explicit how the corresponding (mid spectrum, low entanglement) many-body eigenstates can be approximated by injecting quasiparticle excitations into an exact, zero-energy eigenstate, which is of valence bond solid type. We present a systematic construction of product states characterized, in the limit of a weak transverse field, by a sharply peaked local density of states. We describe how the construction of these ‘peak states’ generalizes to arbitrary dimension and we show that on the ladder their number scales with system size as the square of the golden ratio
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