Reply to "Comment on "Quantum Time Crystals from Hamiltonians with Long-Range Interactions""

Abstract

In the note by Khemani et al. [arXiv:2001.11037] the authors express conceptual disagreement with our recent paper on quantum time crystals [Phys. Rev. Lett. 123, 210602]. They criticise the idealized nature of the considered quantum time crystal, and make several points about properties of Hamiltonians presented in our work. In this reply we answer one-by-one all questions raised in the discussion. As for the ideological dispute, it brightly highlights a bizarre nature of time crystalline order in closed quantum systems, and we offer a different vision for the development of the field.

arXiv commentThis is a reply to the unpublished comment from arXiv:2001.11037, which was withdrawn from Phys. Rev. Letters

References in corpus (11)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Quantum Time Crystals
• Absence of Quantum Time Crystals
• Adiabatic Quantum Simulation of Quantum Chemistry
• Quantum Time Crystals from Hamiltonians with Long-Range Interactions
• The isolated Heisenberg magnet as a quantum time crystal
• Graph states as ground states of many-body spin-1/2 Hamiltonians
• Proof of the absence of long-range temporal orders in Gibbs states
• Greenberger-Horne-Zeilinger states and few-body Hamiltonians
• Mean-field thermodynamic quantum time-space crystal: spontaneous breaking of time-translation symmetry in a macroscopic fermion system
• Absence of temporal order in states with spatial correlation decay