Peaceful coexistence of thermal equilibrium and the emergence of time

• URL: http://arxiv.org/abs/2112.04057v3
• Date: Thu, 17 Feb 2022 18:16:11 GMT
• Title: Peaceful coexistence of thermal equilibrium and the emergence of time
• Authors: Tommaso Favalli and Augusto Smerzi
• Abstract summary: We consider a quantum Universe composed by a small system S and a large environment. Time and non-equilibrium dynamics can emerge as a consequence of the entanglement between the system and the environment.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider a quantum Universe composed by a small system S and a large environment. It has been demonstrated that, for the vast majority of randomly chosen wave-functions of the Universe satisfying a total energy constraint, the reduced density matrix of the system S is given by the canonical statistical distribution. Here, through the Page and Wootters mechanism, we show that time and non-equilibrium dynamics can emerge as a consequence of the entanglement between the system and the environment present in the (randomly chosen) global wave-function of the Universe. The clock is provided by the environment, which ticks the temporal evolution of S. The paradox of the peaceful coexistence of statistical equilibrium and non-equilibrium dynamics is solved by identifying the trace over the environment degrees of freedom with the temporal trace over the entire history of the system S.

Related papers

• Stability of Quantum Systems beyond Canonical Typicality [9.632520418947305]
  We analyze the statistical distribution of a quantum system coupled strongly with a heat bath. The stability of system distribution is largely affected by the system--bath interaction strength.
  arXiv  Detail & Related papers  (2024-07-22T02:59:04Z)
• Emergent Universal Quench Dynamics in Randomly Interacting Spin Models [20.38924078291244]
  We report the experimental observation of universal dynamics by monitoring the spin depolarization process in a solid-state NMR system. We discover a remarkable phenomenon that these correlation functions obey a universal functional form. Our observation demonstrates the existence of universality even in non-equilibrium dynamics at high temperatures.
  arXiv  Detail & Related papers  (2024-06-11T18:00:10Z)
• Spread and Spectral Complexity in Quantum Spin Chains: from Integrability to Chaos [0.0]
  We explore spread and spectral complexity in quantum systems that exhibit a transition from integrability to chaos. We find that the saturation value of spread complexity post-peak depends not only on the spectral statistics of the Hamiltonian, but also on the specific state. We conjecture that the thermofield double state (TFD) is suitable for probing signatures of chaos in quantum many-body systems.
  arXiv  Detail & Related papers  (2024-05-18T10:54:50Z)
• Statistical mechanics from relational complex time with a pure state [0.4143603294943439]
  Canonical typicality has related statistical mechanics for a system to ensembles of global energy eigen- states of system and its environment. We show that the canonical density for a system emerges from a maximally entangled global state of system and environment.
  arXiv  Detail & Related papers  (2024-05-10T11:26:05Z)
• Universal fluctuations and noise learning from Hilbert-space ergodicity [3.55103790558995]
  Recently a quantum notion of ergodicity has been proposed, namely that isolated, global quantum states uniformly explore their available state space. Here we observe signatures of this process with an experimental Rydberg quantum simulator and various numerical models. We then consider the case of an open system interacting noisily with an external environment.
  arXiv  Detail & Related papers  (2024-03-18T17:09:05Z)
• Signatures of quantum phases in a dissipative system [13.23575512928342]
  Lindbladian formalism has been all-pervasive to interpret non-equilibrium steady states of quantum many-body systems. We study the fate of free fermionic and superconducting phases in a dissipative one-dimensional Kitaev model.
  arXiv  Detail & Related papers  (2023-12-28T17:53:26Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Rapid thermalization of spin chain commuting Hamiltonians [13.349045680843885]
  We prove that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians. This has wide-ranging applications to the study of many-body in and out-of-equilibrium quantum systems.
  arXiv  Detail & Related papers  (2021-12-01T16:08:10Z)
• Sensing quantum chaos through the non-unitary geometric phase [62.997667081978825]
  We propose a decoherent mechanism for sensing quantum chaos. The chaotic nature of a many-body quantum system is sensed by studying the implications that the system produces in the long-time dynamics of a probe coupled to it.
  arXiv  Detail & Related papers  (2021-04-13T17:24:08Z)
• Analog cosmological reheating in an ultracold Bose gas [58.720142291102135]
  We quantum-simulate the reheating-like dynamics of a generic cosmological single-field model in an ultracold Bose gas. Expanding spacetime as well as the background oscillating inflaton field are mimicked in the non-relativistic limit. The proposed experiment has the potential of exploring the evolution up to late times even beyond the weak coupling regime.
  arXiv  Detail & Related papers  (2020-08-05T18:00:26Z)
• Entanglement revivals as a probe of scrambling in finite quantum systems [0.0]
  We show that for integrable systems the height of the dip of the entanglement of an interval of fixed length decays as a power law with the total system size. While for integrable systems the height of the dip of the entanglement of an interval of fixed length decays as a power law with the total system size, upon breaking integrability a much faster decay is observed, signalling strong scrambling.
  arXiv  Detail & Related papers  (2020-04-18T21:30:30Z)

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.