Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100378071> ?p ?o ?g. }
- W3100378071 abstract "Classical chaotic systems exhibit exponentially diverging trajectories due to small differences in their initial state. The analogous diagnostic in quantum many-body systems is an exponential growth of out-of-time-ordered correlation functions (OTOCs). These quantities can be computed for various models, but their experimental study requires the ability to evolve quantum states backward in time, similar to the canonical Loschmidt echo measurement. In some simple systems, backward time evolution can be achieved by reversing the sign of the Hamiltonian; however in most interacting many-body systems, this is not a viable option. Here we propose a new family of protocols for OTOC measurement that do not require backward time evolution. Instead, they rely on ordinary time-ordered measurements performed in the thermofield double (TFD) state, an entangled state formed between two identical copies of the system. We show that, remarkably, in this situation the Lyapunov chaos exponent $lambda_L$ can be extracted from the measurement of an ordinary two-point correlation function. As an unexpected bonus, we find that our proposed method yields the so-called regularized OTOC -- a quantity that is believed to most directly indicate quantum chaos. According to recent theoretical work, the TFD state can be prepared as the ground state of two weakly coupled identical systems and is therefore amenable to experimental study. We illustrate the utility of these protocols on the example of the maximally chaotic Sachdev-Ye-Kitaev model and support our findings by extensive numerical simulations." @default.
- W3100378071 created "2020-11-23" @default.
- W3100378071 creator A5036409696 @default.
- W3100378071 creator A5054169219 @default.
- W3100378071 creator A5059899181 @default.
- W3100378071 creator A5085501466 @default.
- W3100378071 date "2020-03-04" @default.
- W3100378071 modified "2023-10-17" @default.
- W3100378071 title "Diagnosing quantum chaos in many-body systems using entanglement as a resource" @default.
- W3100378071 cites W1597956866 @default.
- W3100378071 cites W1744159570 @default.
- W3100378071 cites W1973972788 @default.
- W3100378071 cites W2005403970 @default.
- W3100378071 cites W2007833526 @default.
- W3100378071 cites W2013500054 @default.
- W3100378071 cites W2017152265 @default.
- W3100378071 cites W2032873922 @default.
- W3100378071 cites W2039774900 @default.
- W3100378071 cites W2043243214 @default.
- W3100378071 cites W2076797207 @default.
- W3100378071 cites W2086818467 @default.
- W3100378071 cites W2088299329 @default.
- W3100378071 cites W2089191553 @default.
- W3100378071 cites W2100168895 @default.
- W3100378071 cites W2115109350 @default.
- W3100378071 cites W2116325781 @default.
- W3100378071 cites W2118301480 @default.
- W3100378071 cites W2129872856 @default.
- W3100378071 cites W2160084444 @default.
- W3100378071 cites W2167838187 @default.
- W3100378071 cites W2168226651 @default.
- W3100378071 cites W2183109806 @default.
- W3100378071 cites W2282168229 @default.
- W3100378071 cites W2296259435 @default.
- W3100378071 cites W2298982866 @default.
- W3100378071 cites W2344612405 @default.
- W3100378071 cites W2468277615 @default.
- W3100378071 cites W2481804688 @default.
- W3100378071 cites W2507244937 @default.
- W3100378071 cites W2509670081 @default.
- W3100378071 cites W2517332908 @default.
- W3100378071 cites W2521594291 @default.
- W3100378071 cites W2533729554 @default.
- W3100378071 cites W2534820175 @default.
- W3100378071 cites W2560677405 @default.
- W3100378071 cites W2566467992 @default.
- W3100378071 cites W2586985273 @default.
- W3100378071 cites W2766253867 @default.
- W3100378071 cites W2786854667 @default.
- W3100378071 cites W2789515252 @default.
- W3100378071 cites W2805441291 @default.
- W3100378071 cites W2883137120 @default.
- W3100378071 cites W2884340366 @default.
- W3100378071 cites W2887552177 @default.
- W3100378071 cites W2887618638 @default.
- W3100378071 cites W2890911513 @default.
- W3100378071 cites W2902020670 @default.
- W3100378071 cites W2902765729 @default.
- W3100378071 cites W2903199027 @default.
- W3100378071 cites W2909348457 @default.
- W3100378071 cites W2963924098 @default.
- W3100378071 cites W3099470527 @default.
- W3100378071 cites W3099898343 @default.
- W3100378071 cites W3101289375 @default.
- W3100378071 cites W3103010694 @default.
- W3100378071 cites W3103030505 @default.
- W3100378071 cites W3104561881 @default.
- W3100378071 cites W3104667436 @default.
- W3100378071 cites W3105014362 @default.
- W3100378071 cites W3105139641 @default.
- W3100378071 cites W3105320508 @default.
- W3100378071 cites W3105389469 @default.
- W3100378071 cites W3105605562 @default.
- W3100378071 cites W3123069987 @default.
- W3100378071 cites W3123098127 @default.
- W3100378071 cites W4254297188 @default.
- W3100378071 doi "https://doi.org/10.1103/physrevresearch.2.013254" @default.
- W3100378071 hasPublicationYear "2020" @default.
- W3100378071 type Work @default.
- W3100378071 sameAs 3100378071 @default.
- W3100378071 citedByCount "29" @default.
- W3100378071 countsByYear W31003780712020 @default.
- W3100378071 countsByYear W31003780712021 @default.
- W3100378071 countsByYear W31003780712022 @default.
- W3100378071 countsByYear W31003780712023 @default.
- W3100378071 crossrefType "journal-article" @default.
- W3100378071 hasAuthorship W3100378071A5036409696 @default.
- W3100378071 hasAuthorship W3100378071A5054169219 @default.
- W3100378071 hasAuthorship W3100378071A5059899181 @default.
- W3100378071 hasAuthorship W3100378071A5085501466 @default.
- W3100378071 hasBestOaLocation W31003780711 @default.
- W3100378071 hasConcept C106553664 @default.
- W3100378071 hasConcept C121040770 @default.
- W3100378071 hasConcept C121332964 @default.
- W3100378071 hasConcept C121864883 @default.
- W3100378071 hasConcept C126255220 @default.
- W3100378071 hasConcept C130787639 @default.
- W3100378071 hasConcept C136269434 @default.
- W3100378071 hasConcept C15184713 @default.
- W3100378071 hasConcept C154945302 @default.