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A higher-order Suzuki-Trotter decomposition or Trotterization can be exploited to mitigate the Trotter error in digital quantum simulation. This work revisits the second-order symmetric Trotterization in terms of the Trotter error, where…

量子物理 · 物理学 2026-03-10 Yeonghun Lee

Discretizing the $\lambda \phi^4$ scalar field theory on a lattice yields a system of coupled anharmonic oscillators with quadratic and quartic potentials. We begin by analyzing the two coupled oscillators in the second quantization method…

高能物理 - 理论 · 物理学 2026-05-12 Wung-Hong Huang

Scrambling of information in a quantum many-body system, quantified by the out-of-time-ordered correlator (OTOC), is a key manifestation of quantum chaos. A regime of exponential growth in the OTOC, characterized by a Lyapunov exponent, has…

强关联电子 · 物理学 2021-03-24 Anna Keselman , Laimei Nie , Erez Berg

Interacting many-body quantum systems show a rich array of physical phenomena and dynamical properties, but are notoriously difficult to study: they are challenging analytically and exponentially difficult to simulate on classical…

Out-of-time-order correlators (OTOC) in the Ising Floquet system, that can be both integrable and nonintegrable is studied. Instead of localized spin observables, we study contiguous symmetric blocks of spins or random operators localized…

量子物理 · 物理学 2022-06-22 Rohit Kumar Shukla , Arul Lakshminarayan , Sunil Kumar Mishra

Out-of-time-order correlators (OTOCs) can be used to probe how quickly a quantum system scrambles information when the initial conditions of the dynamics are changed. In sufficiently large quantum systems, one can extract from the OTOC the…

化学物理 · 物理学 2022-03-31 Chenghao Zhang , Peter G. Wolynes , Martin Gruebele

We systematically compare Quantum Liang Information Flow (QLIF) a recently proposed causal information measure with the out-of-time-order correlator (OTOC) as diagnostics of quantum chaos in the one-dimensional mixed-field Ising chain.…

量子物理 · 物理学 2026-03-17 Bin Yi

Out-of-time-ordered (OTO) correlators have developed into a central concept quantifying quantum information transport, information scrambling and quantum chaos. In this work we show that such OTO correlator can also be used to dynamically…

强关联电子 · 物理学 2018-07-05 Markus Heyl , Frank Pollmann , Balázs Dóra

Information scrambling, which is the spread of local information through a system's many-body degrees of freedom, is an intrinsic feature of many-body dynamics. In quantum systems, the out-of-time-ordered correlator (OTOC) quantifies…

量子物理 · 物理学 2022-03-09 Bhuvanesh Sundar , Andreas Elben , Lata Kh Joshi , Torsten V. Zache

Out-of-time-ordered correlators (OTOCs) have received considerable recent attention as qualitative witnesses of information scrambling in many-body quantum systems. Theoretical discussions of OTOCs typically focus on closed systems, raising…

量子物理 · 物理学 2019-02-05 José Raúl González Alonso , Nicole Yunger Halpern , Justin Dressel

Two topics, evolving rapidly in separate fields, were combined recently: The out-of-time-ordered correlator (OTOC) signals quantum-information scrambling in many-body systems. The Kirkwood-Dirac (KD) quasiprobability represents operators in…

量子物理 · 物理学 2018-04-12 Nicole Yunger Halpern , Brian Swingle , Justin Dressel

Out-of-time-order correlation (OTOC) functions provide a powerful theoretical tool for diagnosing chaos and the scrambling of information in strongly-interacting, quantum systems. However, their direct and unambiguous experimental…

量子物理 · 物理学 2019-01-16 Beni Yoshida , Norman Y. Yao

In this paper, the out-of-time-order correlators (OTOC) in quantum harmonic oscillators are calculated analytically by second quantization method in perturbative approximation. We consider the coupled harmonic oscillators and anharmonic…

高能物理 - 理论 · 物理学 2023-08-21 Wung-Hong Huang

The out-of-time-ordered correlators (OTOC) and the Loschmidt echo are two measures that are now widely being explored to characterize sensitivity to perturbations and information scrambling in complex quantum systems. Studying few qubits…

量子物理 · 物理学 2021-05-26 Sreeram PG , Vaibhav Madhok , Arul Lakshminarayan

Out-of-time-ordered correlators (OTOCs) have been suggested as a means to study quantum chaotic behavior in various systems. In this work, I calculate OTOCs for the quantum mechanical anharmonic oscillator with quartic potential, which is…

高能物理 - 理论 · 物理学 2021-02-03 Paul Romatschke

Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body…

量子物理 · 物理学 2021-12-06 Roy J. Garcia , You Zhou , Arthur Jaffe

The out-of-time-ordered correlator (OTOC) is central to the understanding of information scrambling in quantum many-body systems. In this work, we show that the OTOC in a quantum many-body system close to its critical point obeys dynamical…

量子物理 · 物理学 2019-11-13 Bo-Bo Wei , Gaoyong Sun , Myung-Joong Hwang

Motivated by the famous ink-drop experiment, where ink droplets are used to determine the chaoticity of a fluid, we propose an experimentally implementable method for measuring the scrambling capacity of quantum processes. Here, a system of…

量子物理 · 物理学 2023-07-19 Magdalini Zonnios , Jesper Levinsen , Meera M. Parish , Felix A. Pollock , Kavan Modi

Scrambling, a process in which quantum information spreads over a complex quantum system becoming inaccessible to simple probes, happens in generic chaotic quantum many-body systems, ranging from spin chains, to metals, even to black holes.…

量子物理 · 物理学 2020-02-10 Shenglong Xu , Brian Swingle

Understanding quantum chaos is of profound theoretical interest and carries significant implications for various applications, from condensed matter physics to quantum error correction. Recently, out-of-time ordered correlators (OTOCs) have…

量子物理 · 物理学 2024-09-17 Naga Dileep Varikuti