A quantum analog of Huygen's clock: noise-induced synchronization

• URL: http://arxiv.org/abs/2407.17388v1
• Date: Wed, 24 Jul 2024 16:12:27 GMT
• Title: A quantum analog of Huygen's clock: noise-induced synchronization
• Authors: Bhavay Tyagi, Hao Li, Eric R. Bittner, Andrei Piryatinski, Carlos Silva-Acuna,
• Abstract summary: In our proposed model, the relative phase of the two spins become synchronized through interaction with a mutual, correlated, environment. We show that for a system of qubits, several arguments can be made that significantly reduce the cardinality of the set of allowed measurements. We present a numerically efficient method to calculate the degree of quantumness that exists in the correlations of our final density matrix.
• Score: 4.723476740627709
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We propose a quantum analogue of the Huygens clock, in which the phases of two spins achieve synchronization through their interaction with a shared environment. The environment functions analogously to the escapement mechanism in a mechanical clock, regulating the gear train and permitting the advancement of timing in discrete intervals. In our proposed model, the relative phase of the two spins become synchronized through interaction with a mutual, correlated, environment. We show that for a system of qubits, several arguments can be made that significantly reduce the cardinality of the set of allowed measurements and, hence, the complexity of the problem. We present a numerically efficient method to calculate the degree of quantumness that exists in the correlations of our final density matrix. This method also provides a tight upper bound for when the system is described by rank-3 and rank-4 density matrices.

Related papers

• Quantum synchronization in one-dimensional topological systems [4.680781132156346]
  Synchronization in quantum systems can be induced through applying dissipation on the central sites. Two types of synchronization, stemming from the topological edge states, are characterized by the off-diagonal or diagonal correlations between the boundary sites. Remarkably, the synchronous oscillations maintain steady amplitude and frequency in the thermodynamic limit.
  arXiv  Detail & Related papers  (2024-09-19T09:03:09Z)
• Quantum synchronization between two spin chains using pseudo-bosonic equivalence [0.9374652839580183]
  We explore the quantum synchronization of two finite chains of spin-1/2 particles, via a nonlinear interaction mediated by a a central intermediary spin chain. We show that quantum synchronization is robust against variations in the number of spins and inter-spin coupling, though may be affected by thermal noise. This work advances the understanding of synchronization in multi-spin systems and introduces a generalized synchronization measure for both bosons and fermions.
  arXiv  Detail & Related papers  (2024-08-12T13:11:40Z)
• A magnetic clock for a harmonic oscillator [89.99666725996975]
  We study how the quantum dynamics transforms into a classical-like behaviour when conditions related with macroscopicity are met by the clock alone. In the description of this emerging behaviour finds its place the classical notion of time, as well as that of phase-space and trajectories on it.
  arXiv  Detail & Related papers  (2023-10-20T09:55:51Z)
• Quantum synchronization and entanglement of indirectly coupled mechanical oscillators in cavity optomechanics: a numerical study [0.0]
  It is often conjectured that quantum synchronisation and entanglement are two independent properties which two coupled quantum systems may not exhibit at the same time. We show that in the presence of the cavity-oscillator coupling, these oscillators can be synchronized in the quantum sense and entangled as well.
  arXiv  Detail & Related papers  (2023-05-07T05:51:18Z)
• Autonomous coherence protection of a two-level system in a fluctuating environment [68.8204255655161]
  We re-examine a scheme originally intended to remove the effects of static Doppler broadening from an ensemble of non-interacting two-level systems (qubits) We demonstrate that this scheme is far more powerful and can also protect a single (or even an ensemble) qubit's energy levels from noise which depends on both time and space.
  arXiv  Detail & Related papers  (2023-02-08T01:44:30Z)
• Metastable quantum entrainment [0.0]
  We show that quantum entrainment is here characterized by fluctuations driving an incoherent process between two metastable phases. We discuss connections with the phenomena of dissipative phase transitions and transient synchronization in open quantum systems.
  arXiv  Detail & Related papers  (2021-09-03T10:58:21Z)
• Role of Coherence and Degeneracies in Quantum Synchronisation [0.0]
  We study quantum synchronisation by utilising Liouville space perturbation theory. We first clarify the role of centers, symmetries and oscillating coherences in the context of quantum synchronisation. We then analyse the eigenspectrum of the Liouville superoperator generating the dynamics of the quantum system.
  arXiv  Detail & Related papers  (2021-04-09T14:13:39Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• Superposition of two-mode squeezed states for quantum information processing and quantum sensing [55.41644538483948]
  We investigate superpositions of two-mode squeezed states (TMSSs) TMSSs have potential applications to quantum information processing and quantum sensing.
  arXiv  Detail & Related papers  (2021-02-01T18:09:01Z)
• Equivalence of approaches to relational quantum dynamics in relativistic settings [68.8204255655161]
  We show that the trinity' of relational quantum dynamics holds in relativistic settings per frequency superselection sector. We ascribe the time according to the clock subsystem to a POVM which is covariant with respect to its (quadratic) Hamiltonian.
  arXiv  Detail & Related papers  (2020-07-01T16:12:24Z)
• Synchronisation phase as an indicator of persistent quantum correlations between subsystems [68.8204255655161]
  Spontaneous synchronisation is a collective phenomenon that can occur in both dynamical classical and quantum systems. We show that our analysis applies to a variety of spontaneously synchronising open quantum systems.
  arXiv  Detail & Related papers  (2020-06-29T17:21:32Z)

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.