How to implement a search feature?

I have a search feature that allows the user to filter out by products. Typically, I would have the following:

// Routes
import Ember from 'ember';

export default Ember.Route.extend({
  model: function(params) {
    return Ember.RSVP.hash({
      keyword: params.keyword,
      products: this.store.find('product', { name: params.keyword, status: 'available' })
    });
  },

  setupController: function(controller, model) {
    controller.set('content', model);
  }
});

In the template:

// Template
{{#if products.length}}
  <ul>
    {{#each products}}
      <li>
        Name: {{name}}
      </li>
    {{/each}}
  </ul>
{{else}}
  <p>No products</p>
{{/if}}

Which works. However, what if I wanted a search API endpoint to handle filtering of products...

How will the model hook in the routes look like? Should I create an Ember search model? Is that the right approach?

If not, should I be using Ember.$.ajax instead? Other approach?