I have developed my own Persian (jalali) calendar in Java within my library Time4J. The implementation deploys the algorithm of Borkowski (valid at least until gregorian year 2129 - no 2025-bug).
Solution for the concrete problem of OP:
// conversion from jalali to gregorian by constructed input
PersianCalendar jalali = PersianCalendar.of(1394, 11, 5);
// or use a safe enum instead of the month number:
// PersianCalendar jalali = PersianCalendar.of(1394, PersianMonth.BAHMAN, 5);
PlainDate gregorian = jalali.transform(PlainDate.class);
System.out.println(gregorian); // 2016-01-25
// conversion to millis-since-unix (timezone-dependent)
Moment moment1 = gregorian.atStartOfDay().inTimezone(ASIA.TEHRAN);
long millisSinceUnix = TemporalType.MILLIS_SINCE_UNIX.from(moment1);
System.out.println(millisSinceUnix); // 1453667400000L
// conversion of millis-since-unix to jalali (timezone-dependent)
Moment moment2 = TemporalType.MILLIS_SINCE_UNIX.translate(millisSinceUnix);
PlainDate gregorian2 = moment2.toZonalTimestamp(ASIA.TEHRAN).toDate();
System.out.println(gregorian2.transform(PersianCalendar.class)); // AP-1394-11-05
// formatting and parsing in Farsi language using full style
ChronoFormatter<PersianCalendar> f1 =
ChronoFormatter.ofStyle(DisplayMode.FULL, new Locale("fa"), PersianCalendar.axis());
System.out.println(f1.format(jalali)); // ه.ش. ۱۳۹۴ بهمن ۵, دوشنبه
System.out.println(f1.parse("ه.ش. ۱۳۹۴ بهمن ۵, دوشنبه")); // AP-1394-11-05
// formatting in English language using custom pattern
ChronoFormatter<PersianCalendar> f2 =
ChronoFormatter.ofPattern(
"d. MMMM yyyy", PatternType.CLDR, Locale.ENGLISH, PersianCalendar.axis());
System.out.println(f2.format(jalali)); // 5. Bahman 1394
Of course, the calendar offers more features like date arithmetic (adding days or months, calculating the delta in days, months etc.) or field/element-manipulations (easy going to the last day of month etc).
Side notes about other libraries proposed here so far:
The libraries amirmehdizadeh/JalaliCalendar as well as ICU4J both use zero-based months. This can be extremely confusing. Non-intuitive example using amirmehdizadeh's library:
YearMonthDate jalali = new YearMonthDate(1394, 10, 5); // 11th month (Bahman)
YearMonthDate gregorian = JalaliCalendar.jalaliToGregorian(jalali);
System.out.println(gregorian); // 2016/0/25 => 1st month (January)
About internationalization, I don't think that ICU4J offers more than Time4J on the area of Persian calendar since latter one is based on newest CLDR-version v28, too. Time4J actually supports about 25 languages for Persian months and eras (including Farsi and Pashto).