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- W2891391873 abstract "We describe a quench protocol that allows the rapid preparation of ground states of arbitrary interacting conformal field theories in $1+1$ dimensions. We start from the ground state of a related gapped relativistic quantum field theory and consider sudden quenches along the spacelike trajectories ${t}^{2}ensuremath{-}{x}^{2}={T}_{0}^{2}$ (parameterized by ${T}_{0}$) to a conformal field theory. Using only arguments of symmetry and conformal invariance, we show that the post-quench stress-energy tensor of the conformal field theory is uniquely constrained up to an overall scaling factor. Crucially, the geometry of the quench necessitates that the system approach the vacuum energy density over all space except the singular lines $x=ifmmodepmelsetextpmfi{}t$. The above arguments are verified using an exact treatment of the quench for the Gaussian scalar field theory (equivalently the Luttinger liquid), and numerically for the quantum $O(N)$ model in the large-$N$ limit. Additionally, for the Gaussian theory, we find in fact that even when starting from certain excited states, the quench conserves entropy, and is thus also suitable for rapidly preparing excited states. Our methods serve as a fast, alternative route to reservoir-based cooling to prepare quantum states of interest." @default.
- W2891391873 created "2018-09-27" @default.
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- W2891391873 date "2019-03-29" @default.
- W2891391873 modified "2023-10-15" @default.
- W2891391873 title "Cooling arbitrary near-critical systems using hyperbolic quenches" @default.
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- W2891391873 doi "https://doi.org/10.1103/physrevb.99.104308" @default.
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