On Entropy Growth in Perturbative Scattering
- URL: http://arxiv.org/abs/2304.13052v2
- Date: Fri, 18 Aug 2023 17:57:57 GMT
- Title: On Entropy Growth in Perturbative Scattering
- Authors: Clifford Cheung, Temple He, Allic Sivaramakrishnan
- Abstract summary: We study the change in subsystem entropy generated by dynamical unitary evolution of a product state in a bipartite system.
Remarkably, for the case of particle scattering, the circuit diagrams corresponding to $n$-Tsallis entropy are the same as the on-shell diagrams.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Inspired by the second law of thermodynamics, we study the change in
subsystem entropy generated by dynamical unitary evolution of a product state
in a bipartite system. Working at leading order in perturbative interactions,
we prove that the quantum $n$-Tsallis entropy of a subsystem never decreases,
$\Delta S_n \geq 0$, provided that subsystem is initialized as a statistical
mixture of states of equal probability. This is true for any choice of
interactions and any initialization of the complementary subsystem. When this
condition on the initial state is violated, it is always possible to explicitly
construct a "Maxwell's demon" process that decreases the subsystem entropy,
$\Delta S_n < 0$. Remarkably, for the case of particle scattering, the circuit
diagrams corresponding to $n$-Tsallis entropy are the same as the on-shell
diagrams that have appeared in the modern scattering amplitudes program, and
$\Delta S_n \geq 0$ is intimately related to the nonnegativity of
cross-sections.
Related papers
- Scrambling Enabled Entropy Accumulation in Open Quantum Systems [12.410361153759757]
In closed quantum many-body systems, initially localized information spreads throughout the system and becomes highly complex.
Recent studies have shown that dissipation in open systems can hinder information scrambling, driving the system into a dissipative phase.
We unveil a novel phenomenon in open quantum systems, termed entropy accumulation, which occurs exclusively within the scrambling phase.
arXiv Detail & Related papers (2025-02-11T11:24:09Z) - von Neumann entropy and quantum version of thermodynamic entropy [0.0]
The debate whether the von Neumann (VN) entropy is a suitable quantum version of the thermodynamic (TH) entropy has a long history.
We analyze in detail whether and when the VN entropy is the same or equivalent to the TH entropy.
arXiv Detail & Related papers (2024-12-19T17:51:44Z) - Three perspectives on entropy dynamics in a non-Hermitian two-state system [41.94295877935867]
entropy dynamics as an indicator of physical behavior in an open two-state system with balanced gain and loss is presented.
We distinguish the perspective taken in utilizing the conventional framework of Hermitian-adjoint states from an approach that is based on biorthogonal-adjoint states and a third case based on an isospectral mapping.
arXiv Detail & Related papers (2024-04-04T14:45:28Z) - Entanglement phase transition due to reciprocity breaking without
measurement or post-selection [59.63862802533879]
EPT occurs for a system undergoing purely unitary evolution.
We analytically derive the entanglement entropy out of and at the critical point for the $l=1$ and $l/N ll 1$ case.
arXiv Detail & Related papers (2023-08-28T14:28:59Z) - Perturbative Page Curve Induced by External Impulse [5.623221917573403]
We extend the recent study of entropy dynamics induced by an external impulse in open quantum systems.
For small system-bath coupling $kappa$, we expect that the entropy first increases exponentially $kappa2 evarkappa t$ in the early-time regime.
In the second stage, the entropy of the system is equal to the coarse-grained entropy.
arXiv Detail & Related papers (2023-05-24T07:08:12Z) - Disorder-Induced Entanglement Phase Transitions in Non-Hermitian Systems
with Skin Effects [20.88126933913389]
We study the dynamics of a many-body state of free fermions in the paradigmatic Hatano-Nelson model with open boundaries.
We find that the area-law behavior of the entanglement entropy in the pristine Hatano-Nelson model develops into a logarithmic scaling for small disorder strength.
arXiv Detail & Related papers (2023-05-21T04:34:05Z) - Quantum entropy thermalization [5.5586788751870175]
In an isolated quantum many-body system, the entropy of a subsystem thermalizes if at long times, it is to leading order equal to the thermodynamic entropy of the subsystem at the same energy.
We prove entropy thermalization for a nearly integrable Sachdev-Ye-Kitaev model in a pure product state.
arXiv Detail & Related papers (2023-02-20T18:51:21Z) - The Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) Equation for
Two-Dimensional Systems [62.997667081978825]
Open quantum systems can obey the Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) equation.
We exhaustively study the case of a Hilbert space dimension of $2$.
arXiv Detail & Related papers (2022-04-16T07:03:54Z) - Universal Entanglement Transitions of Free Fermions with Long-range
Non-unitary Dynamics [16.533265279392772]
Non-unitary evolution can give rise to novel steady states classified by their entanglement properties.
In this work, we aim to understand its interplay with long-range hopping that decays with $r-alpha$ in free-fermion systems.
arXiv Detail & Related papers (2021-05-19T02:52:48Z) - Eigenstate entanglement entropy in $PT$ invariant non-Hermitian system [0.0]
We study a non-Hermitian, non-interacting model of fermions which is invariant under combined $PT$ transformation.
Our models show a phase transition from $PT$ unbroken phase to broken phase as we tune the hermiticity breaking parameter.
arXiv Detail & Related papers (2021-02-01T19:00:08Z) - Anisotropy-mediated reentrant localization [62.997667081978825]
We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $sim r-a$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems.
We show that the spatially homogeneous tilt $beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion.
arXiv Detail & Related papers (2020-01-31T19:00:01Z)
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.