Abstract
Motivated by the question of whether all fast scramblers are holographically dual to quantum gravity, we study the dynamics of a non-integrable spin chain model composed of two ingredients - a nearest neighbor Ising coupling, and an infinite range $XX$ interaction. Unlike other fast scrambling many-body systems, this model is not known to be dual to a black hole. We quantify the spreading of quantum information using an out-of time-ordered correlator (OTOC), and demonstrate that our model exhibits fast scrambling for a wide parameter regime. Simulation of its quench dynamics finds that the rapid decline of the OTOC is accompanied by a fast growth of the entanglement entropy, as well as a swift change in the magnetization. Finally, potential realizations of our model are proposed in current experimental setups. Our work establishes a promising route to create fast scramblers.
Highlights
The dynamics of thermalization in closed quantum systems has received immense attention in recent years [1–9]
Motivated by the question of whether all fast scramblers are holographically dual to quantum gravity, we study the dynamics of a nonintegrable spin chain model composed of two ingredients: a nearest neighbor Ising coupling, and an infinite range X X interaction
Fast scramblers can be harnessed for performing quantum information processing tasks, and is of great practical use [91,92]
Summary
The dynamics of thermalization in closed quantum systems has received immense attention in recent years [1–9]. It is necessary to search for alternative approaches to realize fast scrambling without disordered interactions All of these works raise a crucial question: are all fast scramblers holographically dual to quantum gravity?. Our model is integrable in certain limits, we show that there is a large parameter regime, where the system exhibits fast scrambling. Such a vanilla model may be easier to realize experimentally, even for large system sizes. On the other hand, when J → 0, the model is the exactly solvable Ising model [60] Between these two extreme limits, this model can exhibit nonintegrability; an essential criterion for fast scrambling (see Appendix A).
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