An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System

• URL: http://arxiv.org/abs/2409.04112v1
• Date: Fri, 6 Sep 2024 08:28:58 GMT
• Title: An Explicit Wavefunction of the Interacting Non-Hermitian Spin-1/2 1D System
• Authors: Yue Wang, Xiangyu Zhang, Zhesen Yang, Congjun Wu,
• Abstract summary: We present an explicit Bethe-ansatz wavefunction to a 1D spin-$frac12$ interacting fermion system. We show a resonance resulting from the interplay between interaction and non-Hermitian spin-orbit coupling.
• Score: 9.980836334866664
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We present an explicit Bethe-ansatz wavefunction to a 1D spin-$\frac{1}{2}$ interacting fermion system, manifesting a many-body resonance resulting from the interplay between interaction and non-Hermitian spin-orbit coupling. In the dilute limit, the wavefunction is greatly simplified and then factorized into Slater determinants and a Jastrow factor. An effective thermodynamic distribution is constructed with an effective Hamiltonian including a repulsion resulting from Pauli's exclusion principle and a distinctive zigzag potential arising from the resonance. The competition between these effects leads to a transition from a uniformly distributed configuration to a phase separation. The connection to the recent cold atom experimental efforts of realizing on-site atom-loss is discussed.

Related papers

• Non-Hermitian Spin-Spin Interaction Mediated by Chiral Phonons [10.115394047612014]
  We introduce an off-diagonal non-Hermitian spin-spin interaction mediated by chiral phonons. The resulting non-Hermitian interaction can reach the kHz range for electron spins. The effect may have wide-ranging applications in cascaded quantum systems, non-Hermitian many-body physics, and non-Hermitian cooling.
  arXiv  Detail & Related papers  (2024-11-21T19:22:40Z)
• Quantum spin chains with bond dissipation [0.26107298043931204]
  We study the effect of bond dissipation on the one-dimensional antiferromagnetic spin-$1/2$ Heisenberg model. Our results suggest that the critical properties of the dissipative system are the same as for the spin-Peierls model.
  arXiv  Detail & Related papers  (2023-10-17T18:46:27Z)
• Sunburst quantum Ising model under interaction quench: entanglement and role of initial state coherence [0.0]
  We study the non-equilibrium dynamics of an isolated bipartite quantum system under interaction quench. We show the importance of the role played by the coherence of the initial state in deciding the nature of thermalization.
  arXiv  Detail & Related papers  (2022-12-23T11:57:47Z)
• Quantum Monte Carlo study of the role of p-wave interactions in ultracold repulsive Fermi gases [0.0]
  We investigate the ground-state properties of single-component Fermi gases with short-range repulsive interactions. A comparison against recently derived second-order perturbative results shows good agreement in a broad range of interaction strength. We find remarkable agreement with a recently derived fourth-order expansion that includes $p$-wave contributions.
  arXiv  Detail & Related papers  (2022-12-18T20:08:32Z)
• Dilute neutron star matter from neural-network quantum states [58.720142291102135]
  Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity. We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
  arXiv  Detail & Related papers  (2022-12-08T17:55:25Z)
• Formation of robust bound states of interacting microwave photons [148.37607455646454]
  One of the hallmarks of interacting systems is the formation of multi-particle bound states. We develop a high fidelity parameterizable fSim gate that implements the periodic quantum circuit of the spin-1/2 XXZ model. By placing microwave photons in adjacent qubit sites, we study the propagation of these excitations and observe their bound nature for up to 5 photons.
  arXiv  Detail & Related papers  (2022-06-10T17:52:29Z)
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator [68.8204255655161]
  Periodically driven quantum many-body systems host unconventional behavior not realized at equilibrium. We investigate such a setup for strongly interacting spinless fermions on a chain, which at zero temperature and strong interactions form a charge density wave insulator.
  arXiv  Detail & Related papers  (2022-05-19T13:28:47Z)
• Dispersive readout of molecular spin qudits [68.8204255655161]
  We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states. We derive an expression for the output modes in the dispersive regime of operation. We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
  arXiv  Detail & Related papers  (2021-09-29T18:00:09Z)
• Chemical tuning of spin clock transitions in molecular monomers based on nuclear spin-free Ni(II) [52.259804540075514]
  We report the existence of a sizeable quantum tunnelling splitting between the two lowest electronic spin levels of mononuclear Ni complexes. The level anti-crossing, or magnetic clock transition, associated with this gap has been directly monitored by heat capacity experiments. The comparison of these results with those obtained for a Co derivative, for which tunnelling is forbidden by symmetry, shows that the clock transition leads to an effective suppression of intermolecular spin-spin interactions.
  arXiv  Detail & Related papers  (2021-03-04T13:31:40Z)
• Optically pumped spin polarization as a probe of many-body thermalization [50.591267188664666]
  We study the spin diffusion dynamics of 13C in diamond, which we dynamically polarize at room temperature via optical spin pumping of engineered color centers. We find good thermal contact throughout the nuclear spin bath, virtually independent of the hyperfine coupling strength. Our results open intriguing opportunities to study the onset of thermalization in a system by controlling the internal interactions within the bath.
  arXiv  Detail & Related papers  (2020-05-01T23:16:33Z)
• Adiabatic quantum decoherence in many non-interacting subsystems induced by the coupling with a common boson bath [0.0]
  This work addresses quantum adiabatic decoherence of many-body spin systems coupled with a boson field in the framework of open quantum systems theory. We generalize the traditional spin-boson model by considering a system-environment interaction Hamiltonian that represents a partition of non-interacting subsystems.
  arXiv  Detail & Related papers  (2019-12-30T16:39:38Z)

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.