Energetical self-organization of a few strongly interacting particles
- URL: http://arxiv.org/abs/2203.13614v2
- Date: Mon, 27 Nov 2023 13:13:40 GMT
- Title: Energetical self-organization of a few strongly interacting particles
- Authors: Ioannis Kleftogiannis, Ilias Amanatidis
- Abstract summary: We study the quantum self-organization of a few interacting particles with strong short-range interactions.
The energy of the system is determined by the number of bonds between particles that lie on adjacent sites.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the quantum self-organization of a few interacting particles with
strong short-range interactions. The physical system is modeled via a 2D
Hubbard square lattice model, with a nearest-neighbor interaction term of
strength U and a second nearest-neighbor hopping t. For t=0 the energy of the
system is determined by the number of bonds between particles that lie on
adjacent sites in the Hubbard lattice. We find that this bond order persists
for the ground and some of the excited states of the system, for strong
interaction strength, at different fillings of the system. For our analysis we
use the Euler characteristic of the network/graph grid structures formed by the
particles in real space (Fock states), which helps to quantify the
energetical(bond) ordering. We find multiple ground and excited states, with
integer Euler numbers, whose values persist from the $t=0$ case, for strong
interaction $U>>t$. The corresponding quantum phases for the ground state
contain either density-wave-order(DWO) for low fillings, where the particles
stay apart form each other, or clustering-order(CO) for high fillings, where
the particles form various structures as they condense into clusters. In
addition, we find various excited states containing superpositions of Fock
states, whose probability amplitudes are self-tuned in a way that preserves the
integer value of the Euler characteristic from the $t=0$ limit.
Related papers
- Observation of string breaking on a (2 + 1)D Rydberg quantum simulator [59.63568901264298]
We report the observation of string breaking in synthetic quantum matter using a programmable quantum simulator.
Our work paves a way to explore phenomena in high-energy physics using programmable quantum simulators.
arXiv Detail & Related papers (2024-10-21T22:33:16Z) - Many-Body Quantum Geometric Dipole [0.0]
Collective excitations of many-body electron systems can carry internal structure, tied to the quantum geometry of the Hilbert space in which they are embedded.
We demonstrate in this work that this property can be formulated in a generic way, which does not require wavefunctions expressed in terms of single particle-hole states.
Our study demonstrates that the QGD is an intrinsic property of collective modes which is valid beyond approximations one might make for their wavefunctions.
arXiv Detail & Related papers (2024-06-17T21:01:03Z) - Dynamical observation of non-trivial doublon formation using a quantum
computer [0.0]
Dynamical formation of doublons or onsite repulsively bound pairs of particles on a lattice is non-trivial.
We show the signatures of doublon formation in a quantum computing experiment by simulating the continuous time quantum walk.
arXiv Detail & Related papers (2024-03-04T17:16:15Z) - Exploring limits of dipolar quantum simulators with ultracold molecules [0.6144680854063939]
We provide a blueprint for realizing two-dimensional quantum simulators employing ultracold dipolar molecules or magnetic atoms.
We map out the agreement between the state prepared in the quantum simulator and the target lattice state.
We show that the interplay between commensurability and interactions can lead to quasidegeneracies.
arXiv Detail & Related papers (2024-02-22T19:00:01Z) - Bound state of distant photons in waveguide quantum electrodynamics [137.6408511310322]
Quantum correlations between distant particles remain enigmatic since the birth of quantum mechanics.
We predict a novel kind of bound quantum state in the simplest one-dimensional setup of two interacting particles in a box.
Such states could be realized in the waveguide quantum electrodynamics platform.
arXiv Detail & Related papers (2023-03-17T09:27:02Z) - Realization of a fractional quantum Hall state with ultracold atoms [0.0]
Emblematic instances are fractional quantum Hall states, where the interplay of magnetic fields and strong interactions gives rise to fractionally charged quasi-particles.
Here, we realize a fractional quantum Hall (FQH) state with ultracold atoms in an optical lattice.
arXiv Detail & Related papers (2022-10-19T22:48:43Z) - Full counting statistics of interacting lattice gases after an
expansion: The role of the condensate depletion in the many-body coherence [55.41644538483948]
We study the full counting statistics (FCS) of quantum gases in samples of thousands of interacting bosons.
FCS reveals the many-body coherence from which we characterize iconic states of interacting lattice bosons.
arXiv Detail & Related papers (2022-07-28T13:21:57Z) - 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) - Mechanism for particle fractionalization and universal edge physics in
quantum Hall fluids [58.720142291102135]
We advance a second-quantization framework that helps reveal an exact fusion mechanism for particle fractionalization in FQH fluids.
We also uncover the fundamental structure behind the condensation of non-local operators characterizing topological order in the lowest-Landau-level (LLL)
arXiv Detail & Related papers (2021-10-12T18:00:00Z) - Mesoscopic quantum superposition states of weakly-coupled matter-wave
solitons [58.720142291102135]
We establish quantum features of an atomic soliton Josephson junction (SJJ) device.
We show that the SJJ-model in quantum domain exhibits unusual features due to its effective nonlinear strength proportional to the square of total particle number.
We have shown that the obtained quantum state is more resistant to few particle losses from the condensates if tiny components of entangled Fock states are present.
arXiv Detail & Related papers (2020-11-26T09:26:19Z)
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.