Entanglement Entropy in String Compactifications
- URL: http://arxiv.org/abs/2310.13735v2
- Date: Tue, 24 Sep 2024 12:40:47 GMT
- Title: Entanglement Entropy in String Compactifications
- Abstract summary: We compute entanglement entropy in orbifolds of Type-II compactifications to four and six dimensions.
We show that all tachyonic contributions in these models admit a resummation and analytic continuation that yields finite entropy in the physical region $0 N leq 1$ just as in ten dimensions.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider $\mathbb{Z}_N$ orbifolds of Type-II compactifications to four and six dimensions on several Calabi-Yau manifolds in the orbifold limit with the aim to compute the entanglement entropy. The spectrum can contain tachyons in the doubly-twisted sectors which can lead to new infrared divergences for the partition function that are not present in the orbifolds of the uncompactified ten-dimensional theory. We show that all tachyonic contributions in these models admit a resummation and analytic continuation that yields finite entropy in the physical region $0 < N \leq 1$ just as in ten dimensions.
Related papers
- Bound, antibound and resonance two-photon states in chiral waveguide QED [51.56484100374058]
We present a theoretical study of the two-particle spectrum $(K)$ for the chiral waveguide QED setup.<n>For each pair center-of-mass momentum $K$ there exist distinct solutions with $Imle 0$ in the two-particle spectrum.<n>An interesting finding is that the real part of the spectrum $Re (K)$ in the chiral model is gapless.
arXiv Detail & Related papers (2026-04-22T14:19:46Z) - Typical entanglement in anyon chains: Page curves beyond Lie group symmetries [41.99844472131922]
We study bipartite entanglement statistics in one-dimensional anyon chains constrained by fusion rules of unitary pre-modular categories.<n>Surprisingly, despite the constrained Hilbert space structure, the large $L$ expansion has no universal $O(sqrtL)$ or $O(1)$ symmetry-type corrections.<n> Numerical simulations of the integrable and quantum-chaotic golden chain Hamiltonian show that chaotic mid-spectrum eigenstates match the Haar-random predictions.
arXiv Detail & Related papers (2026-03-26T18:00:03Z) - Variance reduction in lattice QCD observables via normalizing flows [40.356018646446806]
Normalizing flows can be used to construct unbiased, reduced-variance estimators for lattice field theory observables.<n>This work implements the approach for observables involving gluonic operator insertions in the SU(3) Yang-Mills theory and two-flavor Quantum Chromodynamics (QCD) in four space-time dimensions.
arXiv Detail & Related papers (2026-03-03T13:36:29Z) - Entanglement Spectrum Resolved by Loop Symmetries [0.0]
A rigorous analysis is presented for the entanglement spectrum of quantum many-body states possessing a higher-form group-representation symmetry generated by topological Wilson loops.<n>In particular, it is shown for the Kitaev quantum double model that not only the topological entanglement entropy can be reproduced, but also the Li-Haldane conjecture concerning the full entanglement spectrum holds exactly.
arXiv Detail & Related papers (2025-10-21T07:11:06Z) - Quantum state spectrum and field theory of D$0$-brane [0.0]
We quantize D$0$-brane, the simplest representative of the family of supersymmetric Dirichlet p-branes.<n>We show that the quantum state vector of the D$0$-brane is described by an on-shell superfield.<n>We briefly discuss a spinor helicity formalism for D$0$-brane which can be used as one of the basic elements for developing type IIA string theory amplitude calculus.
arXiv Detail & Related papers (2025-09-14T16:03:53Z) - The Large-Scale Structure of Entanglement in Quantum Many-body Systems [44.99833362998488]
We show that the thermodynamic limit of a many-body system can reveal entanglement properties that are hard to detect in finite-size systems.
In particular, we show that every gapped phase of matter, even the trivial one, in $Dgeq 2$ dimensions contains models with the strongest possible bipartite large-scale entanglement.
arXiv Detail & Related papers (2025-03-05T19:01:05Z) - Bridging conformal field theory and parton approaches to SU(n)_k chiral spin liquids [48.225436651971805]
We employ the $mathrmSU(n)_k$ Wess-Zumino-Witten (WZW) model in conformal field theory to construct lattice wave functions in both one and two dimensions.<n>The spins on all lattice sites are chosen to transform under the $mathrmSU(n)$ irreducible representation with a single row and $k$ boxes in the Young tableau.
arXiv Detail & Related papers (2025-01-16T14:42:00Z) - Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation [42.408991654684876]
We consider the preparation of all the eigenstates of spin chains using quantum circuits.
We showivities of the growth is also achievable for interacting models where the interaction between the particles is sufficiently simple.
arXiv Detail & Related papers (2024-11-22T18:57:08Z) - Heterotic Strings and Quantum Entanglement [0.0]
We show that the tachyonic contributions in all cases can be analytically continued, with a finite answer in the domain $0N leq 1$.
We discuss the physical implications of our results.
arXiv Detail & Related papers (2024-07-24T18:00:01Z) - Quantum Entanglement on Black Hole Horizons in String Theory and Holography [0.0]
We compute the exact one-loop partition function of $mathbbZ_N$ orbifolds of Euclidean BTZ black hole.
We analyze the tachyonic contribution to the modular integrand for the partition function known for odd integers $N>1$.
arXiv Detail & Related papers (2023-12-21T19:11:57Z) - Finite Entanglement Entropy in String Theory [0.0]
We show that the tachyonic contributions to the orbifold partition function can be appropriately summed and analytically continued to an expression that is finite in the physical region $0 N leq 1$
We discuss the implications of the finiteness of the entanglement entropy for the information paradox, quantum gravity, and holography.
arXiv Detail & Related papers (2023-06-01T17:59:59Z) - Measurement phase transitions in the no-click limit as quantum phase
transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians.
We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z) - Universal features of entanglement entropy in the honeycomb Hubbard
model [44.99833362998488]
This paper introduces a new method to compute the R'enyi entanglement entropy in auxiliary-field quantum Monte Carlo simulations.
We demonstrate the efficiency of this method by extracting, for the first time, universal subleading logarithmic terms in a two dimensional model of interacting fermions.
arXiv Detail & Related papers (2022-11-08T15:52:16Z) - Modular Nuclearity and Entanglement Entropy [0.0]
In this work we show that the Longo's canonical entanglement entropy is finite in any local QFT verifying a modular $p$-nuclearity condition.
As application, in $1+1$-dimensional integrable models with factorizing S-matrices we study the behavior of the canonical entanglement entropy as the distance between two causally disjoint wedges diverges.
arXiv Detail & Related papers (2021-08-20T09:01:59Z) - Exact thermal properties of free-fermionic spin chains [68.8204255655161]
We focus on spin chain models that admit a description in terms of free fermions.
Errors stemming from the ubiquitous approximation are identified in the neighborhood of the critical point at low temperatures.
arXiv Detail & Related papers (2021-03-30T13:15:44Z) - Evolution of a Non-Hermitian Quantum Single-Molecule Junction at
Constant Temperature [62.997667081978825]
We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments.
We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
arXiv Detail & Related papers (2021-01-21T14:33:34Z) - Integrability of $1D$ Lindbladians from operator-space fragmentation [0.0]
We introduce families of one-dimensional Lindblad equations describing open many-particle quantum systems.
We show that Lindbladians featuring integrable operator-space fragmentation can be found in spin chains with arbitrary local physical dimension.
arXiv Detail & Related papers (2020-09-24T15:10:43Z) - Probing chiral edge dynamics and bulk topology of a synthetic Hall
system [52.77024349608834]
Quantum Hall systems are characterized by the quantization of the Hall conductance -- a bulk property rooted in the topological structure of the underlying quantum states.
Here, we realize a quantum Hall system using ultracold dysprosium atoms, in a two-dimensional geometry formed by one spatial dimension.
We demonstrate that the large number of magnetic sublevels leads to distinct bulk and edge behaviors.
arXiv Detail & Related papers (2020-01-06T16:59:08Z)
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.