Quantum bounds and fluctuation-dissipation relations

• URL: http://arxiv.org/abs/2110.03497v3
• Date: Mon, 13 Dec 2021 15:09:55 GMT
• Title: Quantum bounds and fluctuation-dissipation relations
• Authors: Silvia Pappalardi, Laura Foini and Jorge Kurchan
• Abstract summary: We discuss the quantum fluctuation-dissipation theorem (the KMS conditions) as the principle underlying bounds on correlation time scales. By restating the problem in a replicated space, we show that the quantum bound to chaos is a direct consequence of the KMS condition. We describe how quantum fluctuation-dissipation relations act in general as a blurring of the time-dependence of correlations, which can imply bounds on their decay rates.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In recent years, there has been intense attention on the constraints posed by quantum mechanics on the dynamics of the correlation at low temperatures, triggered by the postulation and derivation of quantum bounds on the transport coefficients or on the chaos rate. However, the physical meaning and the mechanism enforcing such bounds is still an open question. Here, we discuss the quantum fluctuation-dissipation theorem (the KMS conditions) as the principle underlying bounds on correlation time scales. By restating the problem in a replicated space, we show that the quantum bound to chaos is a direct consequence of the KMS condition, as applied to a particular pair of two-time correlation and response functions. Encouraged by this, we describe how quantum fluctuation-dissipation relations act in general as a blurring of the time-dependence of correlations, which can imply bounds on their decay rates. Thinking in terms of fluctuation-dissipation opens a direct connection between bounds and other thermodynamic properties.

Related papers

• Divergence of thermalization rates driven by the competition between finite temperature and quantum coherence [10.256367888517563]
  We observe a divergence of thermalization rates of quantum matters when the temperature approaches zero. We find that the quantum coherence and bosonic stimulation of superfluid induces the divergence while the finite temperature and the many-body interactions are suppressing the divergence.
  arXiv  Detail & Related papers  (2024-10-30T02:10:29Z)
• Attractive-repulsive interaction in coupled quantum oscillators [14.37149160708975]
  We find an interesting symmetry-breaking transition from quantum limit cycle oscillation to quantum inhomogeneous steady state. This transition is contrary to the previously known symmetry-breaking transition from quantum homogeneous to inhomogeneous steady state. Remarkably, we find the generation of entanglement associated with the symmetry-breaking transition that has no analogue in the classical domain.
  arXiv  Detail & Related papers  (2024-08-23T10:45:19Z)
• Role of Quantum Coherence in Kinetic Uncertainty Relations [0.0]
  Kinetic Uncertainty Relation (KUR) bounds the signal-to-noise ratio of currents in terms of the number of transitions per unit time. The precise connection between KUR violations and quantum coherence has so far remained elusive.
  arXiv  Detail & Related papers  (2024-07-19T09:26:16Z)
• Exact finite-time correlation functions for multi-terminal setups: Connecting theoretical frameworks for quantum transport and thermodynamics [11.061707876645764]
  Transport in open quantum systems can be explored through various theoretical frameworks, including the quantum master equation, scattering matrix, and Heisenberg equation of motion. Existing literature treats these approaches independently, lacking a unified perspective. Our work addresses this gap by clarifying the role and status of these approaches using a minimal single-level quantum dot model in a two-terminal setup.
  arXiv  Detail & Related papers  (2023-12-22T21:09:18Z)
• Observing super-quantum correlations across the exceptional point in a single, two-level trapped ion [48.7576911714538]
  In two-level quantum systems - qubits - unitary dynamics theoretically limit these quantum correlations to $2qrt2$ or 1.5 respectively. Here, using a dissipative, trapped $40$Ca$+$ ion governed by a two-level, non-Hermitian Hamiltonian, we observe correlation values up to 1.703(4) for the Leggett-Garg parameter $K_3$. These excesses occur across the exceptional point of the parity-time symmetric Hamiltonian responsible for the qubit's non-unitary, coherent dynamics.
  arXiv  Detail & Related papers  (2023-04-24T19:44:41Z)
• Maximizing temporal quantum correlation by approaching an exceptional point [11.501461337998974]
  A big breakthrough in quantum physics is its complex extension to the non-Hermitian realm. Unique features of non-Hermitian quantum correlations, especially in the time domain, still remain to be explored. For the first time, we experimentally achieve this goal by using a parity-time (PT )-symmetric trapped-ion system.
  arXiv  Detail & Related papers  (2023-04-13T14:54:09Z)
• Time evolution of quantum correlations in presence of state dependent bath [0.0]
  We study the extent to which initial system-bath correlations influence the dynamics of quantum entanglement and coherence. It is shown that at low temperatures, the initial correlations have no role to play while at high temperatures, these correlations strongly influence the dynamics.
  arXiv  Detail & Related papers  (2022-04-01T14:50:16Z)
• Effect of quantum coherence on Landauer's principle [0.0]
  Quantum Landauer's principle provides a fundamental lower bound for energy dissipation occurred with information erasure in the quantum regime. Recent efforts have also provided another lower bound associated with the thermal fluctuation of the dissipated energy(thermodynamic bound)
  arXiv  Detail & Related papers  (2022-03-31T00:17:42Z)
• Finite-temperature quantum discordant criticality [0.0]
  In quantum statistical mechanics, finite-temperature phase transitions are governed by classical field theories. Recent contributions have shown how entanglement is typically very short-ranged, and thus uninformative about long-ranged critical correlations. We show the existence of finite-temperature phase transitions where a broader form of quantum correlation than entanglement, the entropic quantum discord, can display genuine signatures of critical behavior.
  arXiv  Detail & Related papers  (2021-10-20T14:45:51Z)
• Equilibrium and nonequilibrium quantum correlations between two detectors in curved space time [9.793615002494237]
  We show the quantum information of two qubits is encoded in the space time structure. In nonequilibrium case, the nonequilibrium can also contribute to the correlations.
  arXiv  Detail & Related papers  (2021-08-24T00:33:57Z)
• The origin of loose bound of the thermodynamic uncertainty relation in a dissipative two-level quantum system [0.0]
  thermodynamic uncertainty relations dictate the trade-off between dissipation and fluctuations of irreversible current. It has been noticed that the bound is less tight in open quantum processes. Our study offers a better understanding of how quantum nature affects the TUR bound.
  arXiv  Detail & Related papers  (2021-08-10T00:26:02Z)

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.