Response of the Quantum Ground State to a Parametric Drive

• URL: http://arxiv.org/abs/2408.06228v1
• Date: Mon, 12 Aug 2024 15:29:14 GMT
• Title: Response of the Quantum Ground State to a Parametric Drive
• Authors: Ranjani Seshadri,
• Abstract summary: In a quantum system, however, even when the system is in the minimum energy (ground) state, the system has non-trivial evolution under PR. Here we study the evolution of such a system which exhibits a purely quantum effect with no classical analog.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The phenomenon of Parametric Resonance (PR) is very well studied in classical systems with one of the textbook examples being the stabilization of a Kapitza's pendulum in the inverted configuration when the suspension point is oscillated vertically. One important aspect that distinguishes between classical PR and ordinary resonance is that in the former, if the initial energy of the system is at its minimum (${\dot x}={x}=0$), the system does not evolve. In a quantum system, however, even when the system is in the minimum energy (ground) state, the system has non-trivial evolution under PR due to the delocalized nature of the ground state wavefunction. Here we study the evolution of such a system which exhibits a purely quantum effect with no classical analog. In particular, we focus on the quantum mechanical analog of PR by varying with time the parabolic potential i.e. the frequency of the quantum harmonic oscillator

Related papers

• Breakdown of the Quantum Distinction of Regular and Chaotic Classical Dynamics in Dissipative Systems [0.0]
  In an isolated system, quantum chaos refers to properties of the spectrum that emerge when the classical counterpart of the system is chaotic. We show that the onset of cubic level repulsion in the open quantum model is not always related with chaotic structures in the classical limit.
  arXiv  Detail & Related papers  (2024-06-11T18:00:03Z)
• Exploring Hilbert-Space Fragmentation on a Superconducting Processor [23.39066473461786]
  Isolated interacting quantum systems generally thermalize, yet there are several counterexamples for the breakdown of ergodicity. Recently, ergodicity breaking has been observed in systems subjected to linear potentials, termed Stark many-body localization. Here, we experimentally explore initial-state dependent dynamics using a ladder-type superconducting processor with up to 24 qubits.
  arXiv  Detail & Related papers  (2024-03-14T04:39:14Z)
• Motivating semiclassical gravity: a classical-quantum approximation for bipartite quantum systems [0.0]
  We derive a "classical-quantum" approximation scheme for a broad class of bipartite quantum systems. In this approximation, one subsystem evolves via classical equations of motion with quantum corrections, and the other subsystem evolves quantum mechanically.
  arXiv  Detail & Related papers  (2023-06-01T18:05:33Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Quantum Uncertainty as an Intrinsic Clock [0.0]
  In quantum mechanics, a classical particle is raised to a wave-function, thereby acquiring many more degrees of freedom. We show that the Ermakov-Lewis invariant for the classical evolution in a time-dependent harmonic potential is actually the quantum uncertainty of a Gaussian wave-packet. This naturally extends the classical Ermakov-Lewis invariant to a constant of motion for quantum systems following Schrodinger equation.
  arXiv  Detail & Related papers  (2022-12-19T13:32:55Z)
• Quantum Lyapunov exponent in dissipative systems [68.8204255655161]
  The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. We study the interplay between these two processes. The OTOC decay rate is closely related to the classical Lyapunov.
  arXiv  Detail & Related papers  (2022-11-11T17:06:45Z)
• Quantum Instability [30.674987397533997]
  We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system. An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
  arXiv  Detail & Related papers  (2022-08-05T19:53:46Z)
• The role of fluctuations in quantum and classical time crystals [58.720142291102135]
  We study the role of fluctuations on the stability of the system and find no distinction between quantum and classical DTCs. This allows us to probe the fluctuations in an experiment using two strongly coupled parametric resonators subject to classical noise.
  arXiv  Detail & Related papers  (2022-03-10T19:00:01Z)
• Harmonic oscillator kicked by spin measurements: a Floquet-like system without classical analogous [62.997667081978825]
  The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom. The dynamics of this system is determined in closed analytical form. We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
  arXiv  Detail & Related papers  (2021-11-23T20:25:57Z)
• Quantum-classical entropy analysis for nonlinearly-coupled continuous-variable bipartite systems [0.0]
  We investigate the behavior of classical analogs arising upon the removal of interference traits. By comparing the quantum and classical entropy values, it is shown that, instead of entanglement production, such entropies rather provide us with information.
  arXiv  Detail & Related papers  (2021-11-19T11:39:15Z)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Classical non-equilibrium statistical mechanics and an "open system dynamics" perspective on quantum-classical analogy [4.592848943542229]
  We develop a time-local equation of motion using Green's functions and a series expansion method. We compare this equation of motion with its supposed quantum counterpart, namely the quantum master equation. We notice an apparent exception to QCA in this case, as the first-order classical equation of motion derived herein contains a term that does not appear to have a quantum analogue.
  arXiv  Detail & Related papers  (2020-05-18T13:49:13Z)
• Adiabatic quantum decoherence in many non-interacting subsystems induced by the coupling with a common boson bath [0.0]
  This work addresses quantum adiabatic decoherence of many-body spin systems coupled with a boson field in the framework of open quantum systems theory. We generalize the traditional spin-boson model by considering a system-environment interaction Hamiltonian that represents a partition of non-interacting subsystems.
  arXiv  Detail & Related papers  (2019-12-30T16:39:38Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.