Pattern formation in driven condensates

• URL: http://arxiv.org/abs/2601.05576v1
• Date: Fri, 09 Jan 2026 06:49:56 GMT
• Title: Pattern formation in driven condensates
• Authors: Kiryang Kwon, Jae-yoon Choi,
• Abstract summary: Spontaneous pattern formation out of homogeneous media is one of the well-understood examples of hydrodynamic instabilities in classical systems.<n>BECs of atomic gases have been an ideal platform for studying many-body quantum phenomena, such as superfluidity.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Spontaneous pattern formation out of homogeneous media is one of the well-understood examples of hydrodynamic instabilities in classical systems, which naturally leads to the question of its manifestation in quantum fluids. Bose-Einstein condensates (BECs) of atomic gases have been an ideal platform for studying many-body quantum phenomena, such as superfluidity, and simultaneously providing an opportunity to broaden our understanding of classical hydrodynamics into quantum systems. In this review, we introduce a range of experimental studies on the pattern formation in quantum fluids of atomic gases under external driving, including Faraday waves in one and two dimensions, surface patterns, and counterflow instabilities in a mixture of superfluids. The pattern formation in the quantum system can be understood through the parametric amplification process, where an unstable dynamical mode can be exponentially amplified, similar to classical systems. Remarkably, the governing equations for surface excitations of trapped BECs can be mathematically equivalent to those of shallow water, indicating a universal description of the hydrodynamic instability across classical and quantum domains. However, the condensates, as superfluids, also possess fundamental quantum characteristics, such as quantized vorticity and a distinct dissipation channel. These unique features showcase many-body fragmentation under strong modulation and the generation of vortices in the nonlinear regime, which could offer a pathway to the study of quantum turbulence. Furthermore, the coexistence of long-range phase coherence and density modulation in driven condensates could provide unexplored features, such as those seen in supersolid-like sound modes, within nonequilibrium settings.

Related papers

• On Hydrodynamic Formulations of Quantum Mechanics and the Problem of Sparse Ontology [0.0]
  Hydrodynamic reformulations of the Schrdinger equation suggest an interpretation of quantum mechanics in terms of a fluid flowing on configuration space.<n>In the discrete hydrodynamic view, this fluid is not fundamental but emerges from many underlying microscopic fluid components.<n>We argue that all discrete hydrodynamic models face a generic structural difficulty, which we call the problem of sparse ontology.
  arXiv  Detail & Related papers  (2026-02-24T17:03:49Z)
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity [33.781064984238775]
  We experimentally investigate the dynamics of a trapped ion where the Rabi frequency (Omega) approaches the vibrational mode frequency (nu)<n>Using quantum state tomography, we reconstruct the density matrix and track its evolution to assess non-Markovianity.<n>Our findings establish a pathway for using trapped-ion platforms to investigate non-Markovianity, coherent control, and the fundamental behavior of open quantum systems in extreme regimes.
  arXiv  Detail & Related papers  (2025-10-23T11:25:09Z)
• Probing emergent prethermal dynamics and resonant melting on a programmable quantum simulator [28.28351393962583]
  dynamics of isolated quantum systems following a sudden quench plays a central role in many areas of material science, high-energy physics, and quantum chemistry.<n>Here, we use a programmable neutral atom quantum simulator to explore quench dynamics in spin models with up to 180 qubits.<n>We trace their robustness to Floquet-like prethermal steady states that are stabilized over long emergent timescales.
  arXiv  Detail & Related papers  (2025-10-13T17:58:04Z)
• Generalised fractional Rabi problem [35.18016233072556]
  Fractional quantum dynamics provides a natural framework to capture nonlocal temporal behavior and memory effects in quantum systems.<n>In this work, we analyze the physical consequences of fractional-order quantum evolution using a Green's function formulation based on the Caputo fractional derivative.<n>We find that even in the absence of external driving, the static Hamiltonian term induces non-trivial spin dynamics with damping features directly linked to the fractional temporal nonlocality.
  arXiv  Detail & Related papers  (2025-10-09T12:51:57Z)
• Bose-Hubbard model in the canonical ensemble: a beyond mean-field approach [0.0]
  In this paper, we consider an ansatz wave-function which respects total particle-number conservation for quantum many-body systems.<n>This wave-function has the same complexity in the number of parameters as the mean-field Gutzwiller ansatz.<n>We show that the relaxation dynamics of various out-of-equilibrium initial states under sudden quench of Hamiltonian parameters can be studied with this ansatz wavefunction.
  arXiv  Detail & Related papers  (2025-08-03T09:51:35Z)
• Engineering Non-Hermitian Quantum Evolution Using a Hermitian Bath Environment [31.392358417707825]
  Engineering quantum bath networks through non-Hermitian subsystem Hamiltonians has emerged as a promising strategy for qubit cooling, state stabilization, and fault-tolerant quantum computation.<n>We introduce a systematic framework for constructing non-Hermitian subsystems within entirely Hermitian photonic platforms.<n>In particular, controlled exponential decay absorption without actual loss is realized in finite 1-D waveguide chains through discrete-to-continuum coupling and Lanczos transformations.
  arXiv  Detail & Related papers  (2025-07-22T07:14:05Z)
• Bath Dynamical Decoupling with a Quantum Channel [44.99833362998488]
  We find that bath dynamical decoupling works if and only if the kick is ergodic.<n>We study in which circumstances CPTP kicks on a mono-partite quantum system induce quantum Zeno dynamics with its Hamiltonian cancelled out.
  arXiv  Detail & Related papers  (2024-09-27T07:47:52Z)
• Complex fluid models of mixed quantum-classical dynamics [0.0]
  Mixed quantum-classical fluid models have appeared to describe the coupling between liquid solvents and quantum solute molecules. Here, we present a new complex fluid system that resolves well-known consistency issues. As a result, the system inherits a Hamiltonian structure and retains energy/momentum balance.
  arXiv  Detail & Related papers  (2023-06-27T17:48:50Z)
• Emergence of fluctuating hydrodynamics in chaotic quantum systems [47.187609203210705]
  macroscopic fluctuation theory (MFT) was recently developed to model the hydrodynamics of fluctuations. We perform large-scale quantum simulations that monitor the full counting statistics of particle-number fluctuations in boson ladders. Our results suggest that large-scale fluctuations of isolated quantum systems display emergent hydrodynamic behavior.
  arXiv  Detail & Related papers  (2023-06-20T11:26:30Z)
• Collective flow of fermionic impurities immersed in a Bose-Einstein Condensate [34.82692226532414]
  We study the collective oscillations of spin-polarized fermionic impurities immersed in a Bose-Einstein condensate. For strong interactions, the Fermi gas perfectly mimics the superfluid hydrodynamic modes of the condensate. With an increasing number of bosonic thermal excitations, the dynamics of the impurities cross over from the collisionless to the hydrodynamic regime.
  arXiv  Detail & Related papers  (2023-04-16T00:58:05Z)
• Phase-space stochastic quantum hydrodynamics for interacting Bose gases [0.0]
  We derive, within the positive-P phase-space formalism, a new hydrodynamic method for the description of interacting Bose gases. It possesses the ability to compute non-equilibrium quantum correlations, even for short-wavelength phenomena.
  arXiv  Detail & Related papers  (2022-02-22T01:31:54Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Perspective: Numerically "exact" approach to open quantum dynamics: The hierarchical equations of motion (HEOM) [0.0]
  An open quantum system refers to a system that is further coupled to a bath system. The hierarchical equations of motion (HEOM) can describe numerically "exact" dynamics of a reduced system.
  arXiv  Detail & Related papers  (2020-06-09T21:00:32Z)

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.