@JsonSerializer spring specific field string to date

@Configuration
public class ElasticsearchConfig extends AbstractElasticsearchConfiguration {

    private static SimpleDateFormat formatter = new SimpleDateFormat("yyyy-MM-dd'T'HH:mm:ss.SSSZ");

    @Value("${spring.data.elasticsearch.host}")
    private String elasticSearchHost;

    @Value("${spring.data.elasticsearch.port}")
    private String elasticSearchPort;

    @Bean
    public RestHighLevelClient elasticsearchClient() {
        final ClientConfiguration clientConfiguration = ClientConfiguration.builder()
            .connectedTo(elasticSearchHost + ":" + elasticSearchPort)
            .usingSsl()
            .build();
        return RestClients.create(clientConfiguration).rest();
    }

    @Bean
    public EntityMapper entityMapper() {
        ElasticsearchEntityMapper entityMapper = new ElasticsearchEntityMapper(elasticsearchMappingContext(), new DefaultConversionService());
        entityMapper.setConversions(elasticsearchCustomConversions());
        return entityMapper;
    }

    @Override
    public ElasticsearchCustomConversions elasticsearchCustomConversions() {
        return new ElasticsearchCustomConversions(Arrays.asList(DateToStringConverter.INSTANCE, StringToDateConverter.INSTANCE));
    }

    @WritingConverter
    enum DateToStringConverter implements Converter<Date, String> {
        INSTANCE;
        @Override
        public String convert(Date date) {
            return formatter.format(date);
        }
    }

    @ReadingConverter
    enum StringToDateConverter implements Converter<String, Date> {
        INSTANCE;
        @Override
        public Date convert(String s) {
            try {
                return formatter.parse(s);
            } catch (ParseException e) {
                return null;
            }
        }
    }
}