Engineering harmonic emission through spatial modulation in a Kitaev chain
- URL: http://arxiv.org/abs/2506.05003v1
- Date: Thu, 05 Jun 2025 13:12:52 GMT
- Title: Engineering harmonic emission through spatial modulation in a Kitaev chain
- Authors: Nivash R., S. Srinidhi, Jayendra N. Bandyopadhyay, Amol R. Holkundkar,
- Abstract summary: We investigate High-harmonic generation in a dimerized Kitaev chain.<n>The HHG emission spectrum can be classified into three segments.<n>In the $lambdaleq0$ regime, we observe the mid-gap states (MGSs) hybridize with the bulk, suppressing the earlier observed harmonic enhancements.
- Score: 13.39567116041819
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate High-harmonic generation (HHG) in a dimerized Kitaev chain. The dimerization in the model is introduced through a site-dependent modulating potential, determined by a parameter $\lambda \in [-1:1]$. This parameter also determines the strength of the hopping amplitudes and tunes the system's topology. Depending upon the parameter $\lambda$, the HHG emission spectrum can be classified into three segments. The first segment exhibits two plateau structures, with the dominant one resulting from transitions to the chiral partner state, consistent with quasiparticle behavior in the topological superconducting phase. The second segment displays multiple plateaus, where intermediate states enable various transition pathways to higher conduction bands. Finally, the third segment presents broader plateaus, indicative of active interband transitions. In the $\lambda\leq0$ regime, we observe the mid-gap states (MGSs) hybridize with the bulk, suppressing the earlier observed harmonic enhancements. This highlights the key role of the intermediate states, particularly when MGSs are isolated. These results demonstrate that harmonic emission profiles can be selectively controlled through the modulating parameter $\lambda$, offering new prospects for tailoring HHG in topological systems.
Related papers
- Bimodal phase transition in a periodically modulated $Λ$-type three-level system [0.0]
We present a theoretical investigation of dynamical quantum phase transitions (QPTs) in a periodically driven $Lambda$-type three-level system.<n>Our results provide an insight into the manipulation of quantum phases in a three-level system within an effective extended Jaynes-Cummings regime.
arXiv Detail & Related papers (2025-08-03T07:31:43Z) - Phase structure of below-threshold harmonics in aligned molecules: a few-level model system [0.0]
We analyze the polarization and phase properties of below-threshold harmonics (BTH) in aligned molecules.<n>For harmonics with photon energies below the transition between the dominant field-dressed states, the phase alternates by $pi$ between successive odd harmonic orders but remains constant above.<n>We demonstrate that with selected transition frequencies lower-order harmonics follow the polarization of the linearly polarized driving field while higher-order harmonics exhibit a mirrored polarization.
arXiv Detail & Related papers (2025-07-28T13:35:01Z) - Topological Signatures of Magnetic Phase Transitions with Majorana Fermions through Local Observables and Quantum Information [2.7204116565403744]
The one-dimensional (1D) $J_1-J$ quantum spin model can be viewed as a strong-coupling analogue of the Schrieffer-Su-Heeger model.<n>This model also maps onto a p-wave superconducting wire which shows a topological phase transition with the emergence of low-energy Majorana fermions.<n>This system may be realized in materials and engineered in quantum circuits, optical lattices.
arXiv Detail & Related papers (2025-06-13T12:43:34Z) - Spin-1/2 XX chains with modulated Gamma interaction [0.0]
We diagonalize the Hamiltonian of the model exactly using the Fermionization technique.
We probe the energy gap and identify the gapped and gapless regions.
Our findings indicate that the model undergoes first-order, second-order, gapless-gapless, and gapped-gapped phase transitions.
arXiv Detail & Related papers (2024-11-07T06:40:48Z) - Harmonic generation with topological edge states and electron-electron interaction [0.0]
The presence or absence of topological edge states in the Su-Schrieffer-Heeger (SSH) model has a huge impact on harmonic generation spectra.<n>We show that the huge difference in the harmonic yield between the trivial and the topological phase can be reproduced with few-level models employing only the many-body ground state and a few excited many-body states.
arXiv Detail & Related papers (2024-06-06T14:31:38Z) - Topological, multi-mode amplification induced by non-reciprocal, long-range dissipative couplings [41.94295877935867]
We show the emergence of unconventional, non-reciprocal, long-range dissipative couplings induced by the interaction of the bosonic chain with a chiral, multimode channel.<n>We also show how these couplings can also display topological amplifying phases that are dynamically stable in the presence of local parametric drivings.
arXiv Detail & Related papers (2024-05-16T15:16:33Z) - Topological phase detection through high-harmonic spectroscopy in
extended Su-Schrieffer-Heeger chains [0.0]
Su-Schrieffer-Heeger (SSH) chains are paradigmatic examples of 1D topological insulators hosting zero-energy edge modes.
Recently, high-harmonic spectroscopy has been suggested as a tool for detecting the topological phase.
arXiv Detail & Related papers (2023-05-03T10:31:18Z) - Generating many Majorana corner modes and multiple phase transitions in
Floquet second-order topological superconductors [0.0]
We find a wide variety of Floquet second-order topological superconducting (SOTSC) phases with many Majorana corner modes at both zero and $pi$ quasienergies.
Our discovery not only enriches the possible forms of Floquet SOTSC phases, but also offers an efficient scheme to generate many coexisting Majorana zero and $pi$ corner modes.
arXiv Detail & Related papers (2022-10-25T06:05:14Z) - Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials [77.34726150561087]
We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times.
In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
arXiv Detail & Related papers (2022-10-03T16:51:25Z) - Photoinduced prethermal order parameter dynamics in the two-dimensional
large-$N$ Hubbard-Heisenberg model [77.34726150561087]
We study the microscopic dynamics of competing ordered phases in a two-dimensional correlated electron model.
We simulate the light-induced transition between two competing phases.
arXiv Detail & Related papers (2022-05-13T13:13:31Z) - Non-Gaussian superradiant transition via three-body ultrastrong coupling [62.997667081978825]
We introduce a class of quantum optical Hamiltonian characterized by three-body couplings.
We propose a circuit-QED scheme based on state-of-the-art technology that implements the considered model.
arXiv Detail & Related papers (2022-04-07T15:39:21Z) - Topological transitions with continuously monitored free fermions [68.8204255655161]
We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits.
We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
arXiv Detail & Related papers (2021-12-17T22:01:54Z) - Quantum correlations, entanglement spectrum and coherence of
two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
We study the ground state properties of the one-dimensional extended Hubbard model at half-filling.
In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
arXiv Detail & Related papers (2021-10-29T21:02:24Z) - Lifshitz phase transitions in one-dimensional Gamma model [0.0]
We study quantum phase transitions and magnetic properties of a one-dimensional spin-1/2 Gamma model.
The results indicate that the Gamma model can act as an exactly solvable model to describe Lifshitz phase transitions in correlated electron systems.
arXiv Detail & Related papers (2020-09-17T15:46:36Z)
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.