Detecting the critical point through entanglement in Schwinger model

• URL: http://arxiv.org/abs/2305.00996v1
• Date: Mon, 1 May 2023 18:00:01 GMT
• Title: Detecting the critical point through entanglement in Schwinger model
• Authors: Kazuki Ikeda, Dmitri E. Kharzeev, Ren\'e Meyer, Shuzhe Shi
• Abstract summary: We study the phase diagram of the massive Schwinger model with a $theta$-term at finite chemical potential $mu$. We find that the quantum critical point in the phase diagram of the model can be detected through the entanglement entropy and entanglement spectrum.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Using quantum simulations on classical hardware, we study the phase diagram of the massive Schwinger model with a $\theta$-term at finite chemical potential $\mu$. We find that the quantum critical point in the phase diagram of the model can be detected through the entanglement entropy and entanglement spectrum. As a first step, we chart the phase diagram using conventional methods by computing the dependence of the charge and chiral condensates on the fermion mass $m$, coupling constant $g$, and the chemical potential $\mu$. At zero density, the Schwinger model possesses a quantum critical point at $\theta=\pi$ and $m/g \simeq 0.33$. We find that the position of this quantum critical point depends on the chemical potential. Near this quantum critical point, we observe a sharp maximum in the entanglement entropy. Moreover, we find that the quantum critical point can be located from the entanglement spectrum by detecting the position of the gap closing point.

Related papers

• Prethermal Floquet time crystals in chiral multiferroic chains and applications as quantum sensors of AC fields [41.94295877935867]
  We study the emergence of prethermal Floquet Time Crystal (pFTC) in disordered multiferroic chains. We derive the phase diagram of the model, characterizing the magnetization, entanglement, and coherence dynamics of the system. We also explore the application of the pFTC as quantum sensors of AC fields.
  arXiv  Detail & Related papers  (2024-10-23T03:15:57Z)
• Exact Fisher zeros and thermofield dynamics across a quantum critical point [4.06170462962629]
  We show how Fisher zeros can be employed to better understand quantum phase transitions or the non-unitary dynamics of open quantum systems. We point out $Z$ can be realized and probed in monitored quantum circuits.
  arXiv  Detail & Related papers  (2024-06-27T08:22:43Z)
• Finite temperature detection of quantum critical points: a comparative study [0.0]
  We investigate how the quantum discord, the quantum teleportation based QCP detectors, and the quantum coherence spectrum pinpoint the QCPs of several spin-$1/2$ chains. The models here studied are the $XXZ$ model with and without an external longitudinal magnetic field, the Ising transverse model, and the $XY$ model subjected to an external transverse magnetic field.
  arXiv  Detail & Related papers  (2024-06-14T16:57:02Z)
• Deconfined Quantum Criticality in the long-range, anisotropic Heisenberg Chain [0.0]
  We investigate deconfined quantum criticality in the long-range, anisotropic Heisenberg chain. We show that the model undergoes a continuous phase transition from a valence bond solid to an antiferromagnet. We propose how to realize and probe deconfined quantum criticality in our model with trapped-ion quantum simulators.
  arXiv  Detail & Related papers  (2023-11-10T19:00:07Z)
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $λ\!φ^4$ model [44.99833362998488]
  A quantum simulation of magnetism in trapped-ion systems makes use of the crystal vibrations to mediate pairwise interactions between spins. These interactions can be accounted for by a long-wavelength relativistic theory, where the phonons are described by a coarse-grained Klein-Gordon field. We show that thermal effects, which can be controlled by laser cooling, can unveil this flow through the appearance of thermal masses in interacting QFTs.
  arXiv  Detail & Related papers  (2023-05-10T12:59:07Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Studying chirality imbalance with quantum algorithms [62.997667081978825]
  We employ the (1+1) dimensional Nambu-Jona-Lasinio (NJL) model to study the chiral phase structure and chirality charge density of strongly interacting matter. By performing the Quantum imaginary time evolution (QITE) algorithm, we simulate the (1+1) dimensional NJL model on the lattice at various temperature $T$ and chemical potentials $mu$, $mu_5$.
  arXiv  Detail & Related papers  (2022-10-06T17:12:33Z)
• Quantum Computation of Phase Transition in the Massive Schwinger Model [0.0]
  Physical quantities in the Schwinger model depend on a parameter $theta$ that determines the background electric field. We develop a momentum space formalism on a lattice and use it to perform a quantum computation of the critical point of this phase transition on the NISQ device IMB Q Lima.
  arXiv  Detail & Related papers  (2021-10-25T15:36:23Z)
• Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point [0.0]
  An improved critical quantum metrology protocol relies on quenching a system exhibiting a superradiant quantum phase transition beyond its critical point. We show that this approach can lead to an exponential increase of the quantum Fisher information in time. In this case an additional exponential enhancement of the quantum Fisher information can be observed with the number of atoms $N$ in the cavity.
  arXiv  Detail & Related papers  (2021-10-08T11:52:44Z)
• Taking the temperature of a pure quantum state [55.41644538483948]
  Temperature is a deceptively simple concept that still raises deep questions at the forefront of quantum physics research. We propose a scheme to measure the temperature of such pure states through quantum interference.
  arXiv  Detail & Related papers  (2021-03-30T18:18:37Z)
• 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)

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.